[seqfan] Re: Same parity jumps

Tue Jan 21 17:53:39 CET 2014

Hello,

The sequence J seems to be finite (without using backtracking).

After 4016 terns the pattern to be matched by the next number is
(best viewed in a fixed font)

ExOOxOxOxOxx
2--e
4----e
6------e
8--------e
where E requires an even digit, O requires an odd digit, and x don't care.
As illustrated, all possible even numbers will require an even number
2,4,6,8 positions away, but all these positions already requires an odd 
number.

If the phrase "not leading to a contradiction" is to be interpreted as
"backtracking must be used", then there is more work ahead.

/Lars B

The 4016 values follow:

1,2,3,4,6,7,5,8,20,42,9,30,22,34,41,33,44,13,36,23,12,31,25,14,11,35,24,16,37,
26,38,45,39,46,73,60,47,27,18,15,17,19,51,49,29,50,81,53,55,57,56,71,59,75,28,
58,61,77,52,64,48,93,40,63,66,67,70,62,68,69,72,78,80,83,79,95,84,82,91,85,90,
88,89,74,86,94,423,92,412,96,402,97,406,99,413,304,113,123,125,127,129,141,131,
411,312,314,115,145,133,415,300,231,233,417,302,230,235,223,425,306,111,135,225,
227,229,200,234,419,308,117,119,318,137,147,330,237,239,241,236,427,340,238,251,
250,252,256,255,253,451,316,139,149,202,404,502,342,334,257,206,258,259,270,272,
408,336,151,274,273,422,344,153,441,338,271,275,604,155,161,157,208,277,278,414,
512,346,159,204,279,424,504,163,167,348,290,291,294,245,247,249,240,292,416,350,
293,418,356,171,296,426,360,295,220,261,297,222,244,299,224,226,429,362,450,442,
352,452,358,173,175,364,177,366,179,370,453,368,191,372,374,193,181,195,183,169,
185,228,447,380,470,456,382,378,457,386,390,455,246,459,242,458,444,550,446,392,
472,260,445,384,473,428,388,197,248,264,475,266,449,394,474,506,189,199,280,606,
715,341,471,478,396,311,530,461,514,508,347,351,490,492,284,263,463,522,524,523,
345,331,477,262,448,534,467,500,462,516,702,520,469,518,526,349,538,479,528,562,
552,536,315,333,491,556,317,335,611,513,361,313,558,319,353,494,572,564,515,566,
355,570,493,574,517,363,357,578,337,359,590,495,584,519,525,367,371,592,496,700,
267,269,268,612,568,582,586,704,527,481,594,497,580,613,533,369,373,596,339,375,
615,529,381,377,499,588,379,553,706,391,393,614,535,383,395,537,385,397,539,389,
399,555,561,511,712,560,483,708,557,485,714,559,489,718,563,567,716,730,631,617,
569,464,750,608,573,466,722,720,281,619,575,581,531,577,583,571,579,585,589,593,
723,724,725,283,623,726,727,285,289,633,625,728,923,729,740,635,627,745,286,637,
595,641,597,823,741,551,639,599,482,734,713,747,591,671,717,749,731,673,629,742,
780,645,733,647,735,649,675,288,661,719,744,663,667,746,600,677,282,468,912,748,
630,679,400,484,736,785,669,683,486,782,784,685,689,783,624,789,781,693,825,786,
681,695,620,827,829,440,634,697,788,640,699,420,626,845,900,831,691,636,847,841,
638,833,849,738,837,811,752,670,813,902,756,616,737,861,815,758,839,2512,904,
739,941,751,618,913,906,770,674,817,908,930,819,772,678,853,942,778,660,855,940,
835,851,755,690,857,800,859,672,692,488,920,863,602,774,628,867,922,460,694,696,
644,869,2250,646,757,806,891,759,648,893,622,924,883,642,790,680,885,889,925,
808,881,771,830,4253,662,792,684,773,927,929,945,753,895,711,775,897,777,779,
6111,791,899,795,793,6115,794,2330,2312,796,686,797,2230,4113,926,928,480,812,
914,946,802,834,2350,814,799,688,2234,2334,2336,2314,916,947,836,2316,918,931,
2514,944,948,840,850,838,2318,934,949,960,816,936,935,2338,911,915,938,917,919,
950,818,937,951,852,856,858,890,892,804,2252,894,896,820,2256,2302,952,842,956,
2304,958,961,953,972,970,4115,963,955,966,957,978,2306,939,967,860,4123,962,968,
846,974,2300,4117,969,959,990,4119,1411,994,933,1413,992,996,848,971,2516,1251,
2308,973,822,964,975,866,977,3304,979,1230,6117,991,2352,3123,1231,2356,995,993,
8111,997,3125,1415,3141,999,2000,664,1133,4233,4235,2236,2358,2342,5300,2370,
2340,2372,2344,1330,2374,1131,2378,1111,1135,2238,2390,2346,2348,3302,5123,4237,
2258,666,1153,668,1137,2270,682,5025,2272,2360,2518,1233,4133,4239,2274,824,
1253,844,1350,2362,3127,1234,4135,2278,2364,1139,2290,826,1250,2366,1113,3023,
1235,2292,2368,1115,1236,2392,2380,2382,3306,1312,3129,1237,2294,4125,864,1155,
868,1117,5000,4137,1238,4139,1239,2296,2386,2384,5304,2394,2388,2396,1352,2502,
3025,1252,2504,1151,2506,1119,3002,3004,1157,862,2508,3027,1255,884,1159,2002,
3006,1171,2500,4153,882,3145,3008,1173,828,1271,2520,4255,880,2712,3042,3308,
1175,886,1257,888,2702,5004,2530,4155,1412,3147,1256,4023,3029,1258,2004,1177,
2006,1179,2008,1191,1193,4025,1414,5125,2412,3149,1270,2040,2534,1195,2042,2522,
3041,1314,1197,2020,4027,1259,4029,1272,2560,4157,1416,3045,3044,1334,2536,4159,
2022,3046,1316,3161,3163,1273,4045,1274,2524,4257,2024,1275,2044,1336,2550,4047,
1278,4049,1290,2046,1318,3167,1199,4083,1417,3362,3169,1277,2060,4173,1279,2538,
1291,2526,4063,3047,1292,4067,1418,3049,1294,2048,2528,1293,4069,2026,1295,2562,
3183,1297,2028,1419,5006,2414,5127,2416,3061,3185,1296,2552,3063,1299,2080,2062,
3502,3067,1450,4085,1451,2564,1453,4089,1452,2064,1530,4259,2082,3048,1338,1331,
2556,4127,3022,3069,1455,2066,1512,3081,1311,1356,1313,3181,1315,1358,1317,1333,
4175,1611,1335,2558,1319,1337,2570,4129,1456,2068,3189,1457,2084,1339,2572,3083,
1351,1372,3341,1370,2566,1459,2086,1355,2568,1513,1471,2580,4177,1614,1353,4145,
1458,2582,5027,2418,3085,1357,2574,1359,2578,1371,1373,4179,1613,1375,2584,1377,
2586,1379,2588,1391,1378,2594,1393,4147,1472,3089,1374,1390,2590,4149,1474,5008,
2592,4163,4413,3423,3425,3062,3504,1473,4167,1470,4223,4273,4225,2450,2704,1392,
2700,2088,1394,1396,2596,3345,3342,3344,1534,4193,4227,2402,3347,1514,1395,2706,
1397,3361,1515,1475,2708,1399,1531,6119,1516,1477,2720,6231,2714,1478,2724,1479,
2726,1490,2722,2404,5129,2452,2406,3346,3348,3364,1533,4275,2200,2716,1491,2728,
1492,5141,2718,1493,4169,2408,3064,1535,6235,2730,2734,1536,4195,2202,2742,3066,
1517,3427,3429,3441,3366,1518,3445,5040,2736,1494,2740,2442,3368,1519,1495,2206,
2744,5044,2738,2470,2746,2456,2748,3068,1537,4277,4229,4279,2204,2750,2752,3349,
1538,1497,2780,6041,1550,4183,1499,2208,2444,5306,2756,2446,3382,3367,1552,3447,
3024,1631,2758,2448,5308,2770,2240,2772,2244,2774,2246,2778,2248,2790,2242,2782,
3082,3384,1730,2458,2784,1496,2786,2462,3506,1615,5041,2792,2260,2788,1612,5340,
2794,1539,4197,1811,1511,3363,1553,1617,1551,4185,1616,1556,4189,3026,1618,5145,
2472,2900,2474,4245,2478,2904,1555,6045,1558,1571,1557,4199,1813,1559,3381,1711,
1570,4513,1619,1572,6047,1574,1573,4293,4295,2466,3508,3449,5020,2490,2902,2422,
3461,3522,3463,3467,3028,1633,1575,6049,1578,1577,1579,4297,2492,3369,1592,3469,
3523,1635,1590,4515,1637,1591,4517,1639,1593,6061,1594,1831,2796,3086,3385,3386,
1712,3084,1731,2912,3383,1715,1596,1595,3389,1714,1630,2930,2494,4247,2424,5023,
4299,2220,2464,5147,2496,3481,3388,1716,1670,2906,2612,5029,2614,1597,4519,1671,
1599,4533,1673,1733,6131,1718,1634,1734,2630,2934,2634,4453,4423,3483,3485,3088,
1736,1672,2908,2616,1675,2264,2936,2618,5045,2636,2950,2426,3489,3402,3404,5149,
2638,1636,2952,2428,3623,1677,2224,4455,2468,3524,1679,2226,2670,2920,2672,4249,
2674,1638,2938,2678,4263,4457,2482,3625,1674,2924,2690,4267,2484,5047,2692,4269,
2486,3406,3526,3627,5024,4459,2488,3408,5344,2956,2602,5049,2694,1735,2914,1737,
8113,1713,1691,1738,2696,1750,2604,1739,2812,3561,3525,1693,1751,2916,1717,3563,
1719,1678,1770,2958,2918,1695,6067,2922,3629,1697,2262,4523,1699,1752,2606,1753,
6069,1756,1692,5161,2972,3604,1755,2608,1771,2940,2970,4283,4415,3442,3528,1815,
1690,2926,2622,5061,2974,1694,4473,4623,1833,4417,3422,3641,1758,2642,5346,2978,
2228,4475,2266,2990,2222,4425,3444,5348,2992,2268,4419,5026,2814,7123,4427,3424,
5063,4477,2280,4479,2284,2830,2994,2282,4429,3426,3446,3562,3527,1817,1757,3567,
1759,1819,1772,2944,1774,6081,2996,1778,3569,1773,6085,1790,2942,2928,1835,1775,
2946,1792,3581,1777,1696,1779,2644,1794,2948,2962,5067,4493,3823,1851,3529,3645,
1796,2960,2964,1837,4495,3841,1912,3428,3647,1830,4497,2286,4445,3448,3564,1793,
6089,1914,1834,4553,4447,3462,3583,1839,1812,3464,5163,4499,2288,2646,1950,2624,
1853,4449,3482,3466,3566,3649,5028,2816,1791,2966,1795,3845,1916,3568,3585,1855,
2968,3582,5069,2818,1814,7125,2648,1930,2834,4555,6441,3584,1797,2400,4525,1857,
1799,3589,1911,1918,1913,1859,4483,3661,1934,2836,4557,3663,1893,4285,2662,5500,
4613,1891,4500,4463,3667,1836,4615,5046,4512,3669,1838,2890,4502,4467,3468,3683,
1895,2440,4504,1897,2420,4469,3484,5048,4514,1899,2480,2664,1936,2850,4485,3486,
3702,3488,3704,1850,4506,3681,5167,2838,3411,5169,2852,2666,7127,2626,7023,4489,
3602,5060,4516,3413,3685,1852,4508,3689,1856,2668,5183,4635,2856,4518,3825,1858,
4522,5081,4712,3606,1951,4524,5083,4617,1890,4289,2628,1892,4520,4625,1894,4526,
4627,5064,4535,6237,4530,4619,1896,2460,4527,3415,3741,1938,1915,1931,4537,3417,
3723,3419,3586,1917,3588,1919,1952,8061,1933,3451,3725,1816,1953,3727,3453,3729,
1818,1970,4528,4633,4637,2858,4529,5085,2892,3706,3608,5181,4730,2894,1955,2682,
5185,2896,1956,2684,5089,4230,6230,4534,4639,4234,6234,4536,4673,4629,4236,6250,
4562,3827,3412,3745,1958,1935,1937,4539,3455,3642,5360,4538,3471,5189,4238,6236,
4550,4645,5066,4552,3829,3414,5068,4570,4647,4250,4649,5080,6135,1972,3708,1939,
1957,8063,1959,2686,1971,4560,4675,2600,4556,4663,5223,4677,2620,4679,2640,6238,
4572,4667,4252,4669,5084,6239,4558,3473,5341,4574,4683,4695,2800,4559,3847,1974,
4563,4693,4823,4685,5086,4714,5088,4715,5200,4573,3611,1973,4567,3457,3861,1975,
2660,4575,6241,4578,3613,1977,2680,4697,2802,4569,3849,3416,3742,3744,1978,4564,
4699,2806,2688,5345,6330,4590,4813,3459,3622,5204,4577,4689,4835,6252,4566,3475,
3644,1990,2808,1979,5206,6151,3722,3646,1992,2820,4815,3648,5364,4579,4817,3418,
3747,1994,4583,4819,3452,3662,5504,4833,4853,3863,3749,3682,5347,4592,3867,1993,
3869,1995,3802,3781,3746,1996,3726,3881,3724,5208,4593,4825,2804,7129,2822,3664,
5506,4855,2842,3728,3666,1997,2826,3477,3624,5231,4594,4827,2824,7025,2844,7300,
4568,3479,5220,6251,4582,3885,3312,3748,3314,1991,4580,4829,3456,3668,5508,4837,
4256,4845,3684,5349,4596,3491,3782,3686,7302,4584,5225,6256,4586,3889,3626,7000,
4585,3495,3786,1999,3788,3111,5330,4595,3493,3783,3115,3316,3113,3785,3117,3318,
3119,5131,6137,3334,5133,4597,3497,3789,3131,3336,3151,3784,5135,6312,3902,3628,
5227,4258,4839,7250,2846,3352,3904,5137,4599,3499,3806,3153,3923,3615,5139,4713,
3617,5151,4717,3458,3925,5230,4719,3472,3906,3155,3883,3157,3688,5171,4734,6255,
6302,3908,3133,5153,4733,3619,5155,6139,3338,3135,5157,4716,3671,5361,4718,3474,
5363,4735,3478,3924,5233,4737,3492,3927,3494,5229,4412,3804,7141,4588,3631,5334,
4736,6257,4702,5241,4738,3496,7145,2848,3372,5366,4750,2862,3922,3808,3171,5367,
4739,3633,5159,4752,3842,3926,3822,7027,2828,3673,5245,6258,4704,5234,4753,6411,
3928,3612,5247,4270,4847,3614,5249,4272,2840,4756,2864,7147,2866,3159,3824,7002,
4589,3635,5236,4755,2868,3173,5261,4757,2882,3929,3826,3675,5368,4770,2860,4758,
2884,7149,2886,3175,3944,5336,4759,2888,3177,5380,4775,2880,4772,3844,7350,4706,
3616,7161,4708,3618,5173,4773,6259,4774,5235,6155,3356,3179,3828,3672,5369,4777,
3634,5175,6157,3358,3137,5177,4779,3637,5179,4793,3811,3191,3941,3374,5191,4778,
3636,7151,4722,3846,3378,3945,5238,4795,5237,4792,5263,4797,3812,3947,3862,3949,
3882,3961,3962,5267,4857,3677,5269,4799,3813,3193,3963,3139,3639,5193,6159,3392,
3942,3964,5195,6271,4724,5239,4790,6000,4726,3674,5381,4794,5240,4796,3815,3946,
3966,3967,5283,4859,3678,5244,4930,4274,4849,4278,6004,4934,4290,4863,3679,5224,
6270,4700,6272,4720,6274,4728,6275,6300,4912,3864,7029,4002,3848,3394,5383,4915,
3638,5197,4292,4867,3692,5281,4914,5226,4893,4869,3884,7006,4742,3866,3195,3868,
3197,5228,4895,7008,4723,5251,4913,3691,5199,4416,3886,3948,3888,9025,6006,4916,
7020,4883,3695,5246,4918,5260,4897,4000,4885,3694,5386,4917,5264,4899,4006,6002,
3968,3199,5253,6171,3396,3311,3969,3512,5285,6175,3514,5331,4919,3693,5255,6177,
3516,3313,5385,3315,3518,3317,5333,4933,3697,5257,4935,3699,5335,6179,3534,5259,
4936,3696,7163,4725,3814,7153,4727,3816,3319,5384,5337,4938,3817,7061,4729,3818,
3371,5388,4937,4294,4889,4004,5248,4970,4008,6277,4020,6279,4024,5250,4939,3819,
3351,5389,3331,3536,3353,5523,3831,3355,5561,3513,3833,3357,5524,5271,4950,4414,
5289,4296,6008,4744,5256,4952,5604,5273,4953,3835,3359,5525,3837,3373,5527,3839,
3375,5560,4955,3834,7155,6042,5520,6291,4740,6044,5338,4972,4026,6295,6040,4746,
3852,7167,5526,3851,7169,5528,3891,7157,4022,5623,5275,6191,3538,3333,5339,4956,
3853,7181,5704,5258,4973,5277,4957,3855,3377,5529,3857,3379,5581,3335,3552,5563,
3515,3859,3391,5566,3517,5625,5279,4958,3836,7159,4028,3838,9171,4745,6278,4748,
5270,4959,4418,5641,4974,4060,6297,4062,5627,5274,4975,8230,4977,3856,3393,5567,
3519,3893,3395,5568,3533,5291,4978,3894,7171,4747,3858,3397,5569,4979,3895,3399,
5583,3337,3556,3511,5585,3339,3558,3531,5351,4992,5266,4993,5823,3897,7022,5629,
5278,6195,5350,4994,5268,4995,5280,4997,3892,7041,5564,5293,6299,4042,5606,7173,
4749,3896,3551,5589,3711,3572,5723,3899,3553,5645,5356,4996,7026,6025,5284,4990,
4066,6027,5286,4999,4080,6415,5580,6197,3578,3535,5295,6199,3592,5741,3574,5353,
6311,3594,5297,4452,5647,5290,6315,3596,3555,5649,5358,6314,5370,6316,3712,5288,
6317,5374,6331,6318,3714,5294,6335,6334,5378,6319,5390,6336,3716,7040,4782,5600,
6338,6370,4780,6290,4786,6046,7306,4783,5661,5530,6417,5584,5299,4450,6048,3718,
5296,6350,4784,5608,6372,4788,6292,4900,4064,5633,6451,4902,5620,6455,6062,5586,
6419,5588,3715,5394,6337,8312,5725,5611,5355,6339,3734,5357,8117,3537,5613,5359,
6351,3736,3557,5727,5615,5371,6355,3738,3539,5373,6357,3752,5663,5533,6457,4068,
5617,5630,6359,4904,5631,6371,4906,4456,6029,5624,5634,6352,4908,5614,5375,6356,
3756,7042,5706,3559,5729,5616,7175,6141,3758,3571,5377,8119,3573,5619,5379,6358,
3772,5700,6374,4920,4458,5667,5534,6459,4044,5636,6375,6304,5396,6377,4924,5635,
6379,4926,7251,4785,5618,5536,6391,4922,4082,5669,4470,6060,6712,5640,6378,4928,
4472,6225,6294,4940,4084,5637,4474,6227,4478,5681,5391,6390,4942,5626,7253,4789,
5638,5538,6395,6306,4944,5628,6471,4946,4490,6229,4046,7046,4948,5660,6475,6064,
5550,6477,5664,5535,6479,5708,3575,5393,6397,3778,3577,5395,6399,3792,5745,3774,
5397,8131,3579,5639,5399,6392,5746,3794,5740,6394,5556,6491,5720,6412,5724,5670,
6396,6716,7048,5726,7252,4923,5671,5531,6711,3796,3591,5747,3912,5781,3717,3914,
5537,8133,3593,5811,3595,5749,3916,3597,5783,3719,3918,3599,5539,6495,5748,3934,
5551,6715,3936,3713,5683,5731,6714,5558,6717,5570,6719,3938,3731,5553,6731,3952,
5728,5673,5555,6497,5780,6499,5786,3751,5744,5574,6735,6296,4960,4086,7045,5644,
5578,6611,5590,6737,3956,3753,5685,5730,6718,3972,5784,6631,6730,6414,5788,6416,
7308,4925,5666,6755,6066,3958,5668,5573,6635,6450,4962,5680,6637,4492,6245,6068,
3974,5674,6639,4494,6080,4964,5678,6671,6734,6452,4966,7028,5689,5675,6630,6736,
6418,5900,4496,6247,4088,5677,4630,6675,6084,6738,6470,4968,4612,5825,6456,6308,
5904,4634,6677,4200,6615,5594,6739,6458,5906,7177,4927,5679,5557,8137,3733,5691,
5559,6617,5596,6751,5908,3735,5571,6757,3978,3737,5575,6759,3992,5785,3739,3994,
5577,8139,3755,5646,7352,4929,5684,5695,6750,6342,5920,4614,5693,6771,6344,5734,
6472,6340,6752,5648,5736,6474,6346,6756,6082,5924,4636,6679,4040,6478,5926,4670,
6249,4616,7047,8302,5789,5690,6758,6348,5738,6490,6360,6702,5686,6770,6086,3996,
7060,4945,5688,5735,6492,6362,5928,5694,5579,6619,5696,6772,6364,5750,6494,5940,
4618,5697,4830,6691,5946,4672,5827,4674,5829,4678,5800,6774,6088,6778,5770,6775,
6790,6792,5948,5314,5591,6777,5316,3757,5804,7179,4048,5814,7191,4947,5806,3759,
5808,3771,5941,8314,5593,6811,7312,5923,5699,5595,6779,5318,3773,5597,8151,3775,
5813,3777,5860,6795,5840,6794,5846,6796,7062,4949,5816,3779,5944,5756,6791,5960,
8153,5815,7255,6145,5514,5599,6797,5516,3791,5945,5518,3793,5733,6799,5716,3795,
5947,5714,5737,8157,3797,5817,3799,5841,6912,5964,5739,6695,5758,6911,5774,6697,
8330,6915,5818,3911,5925,8231,6917,5820,6699,4202,6402,5966,3913,5861,3915,5863,
3917,5824,6851,6366,7500,6425,5844,6950,4402,5845,6496,6368,5968,5830,6855,6382,
7340,6384,5778,6614,5790,6812,7342,7346,7316,7183,5847,7256,4963,5867,7257,8023,
5819,7258,6147,5794,6831,6914,5826,6815,7066,4967,5828,6817,7068,4969,5833,6819,
7348,6386,7356,6388,9300,6380,6916,7080,6125,5834,6951,8304,5753,6835,7318,5927,
5831,6919,5880,6857,7362,5929,5835,3919,7185,3931,5718,3933,5751,6931,5796,3951,
5961,3935,5837,3953,5869,3955,5864,7193,6427,5866,3957,5868,3973,5881,6955,5884,
7195,6406,7366,7189,5848,9270,6127,4638,5839,4690,6200,6704,5836,6918,5886,6859,
4404,5849,6952,5888,3971,7360,6935,5838,3975,5883,6957,4406,7049,4408,5885,6956,
8306,7523,5889,3959,7082,5949,5914,5755,6937,5916,3977,5963,3937,5851,3979,7081,
3939,5918,3991,5757,8159,3993,5853,3995,5967,3997,5855,3999,7380,6149,5930,8171,
5113,5857,4692,7063,6129,5850,6612,7368,6167,5856,6891,7382,5969,5858,6895,7386,
6161,7502,6429,7086,6169,7506,6445,7388,5111,5934,4694,6261,6706,7088,6181,5936,
4696,6267,4422,7067,4424,7069,4426,7083,6185,5890,6958,4428,9023,6269,4812,7085,
6189,5938,5894,6959,4482,7089,5956,7358,9123,5859,4814,7200,6341,5950,4816,7223,
6447,7202,6345,5958,5115,5759,6934,5970,8173,5117,5891,6971,7508,5119,5771,6930,
8316,7113,7423,7425,7402,7341,5974,5773,6837,7370,6347,5978,5311,5775,6616,7372,
6349,5990,8177,5513,5893,6897,4462,7427,7406,7345,7562,7525,5895,7111,7347,5994,
5777,8179,5515,5897,7115,7349,5996,7117,7361,5517,5899,6899,6408,9302,7363,6939,
5896,6975,7566,7119,7408,9002,7367,8193,7225,6404,7520,6449,7206,6361,7522,6461,
7526,6467,7208,6469,7220,6442,7528,6481,7700,6444,7560,6485,7240,6708,9000,6367,
8512,7227,4464,7229,4442,7242,6722,7246,6724,7248,6726,7260,6725,7230,6936,7270,
6369,7512,7441,7568,5519,7231,6938,9312,7369,6972,7266,6977,7226,8411,7527,7411,
7381,5315,7330,6974,7228,6839,7272,6381,7336,6978,9004,5779,6618,9330,6970,4818,
9271,6385,6990,8300,6727,7236,6979,7280,6991,7338,5313,5791,6992,7582,7385,7378,
9304,5793,6995,7392,7383,5317,7390,6389,7396,7516,7389,7702,7442,7586,7197,7422,
7429,7426,7445,7588,5319,7530,6997,7518,5511,5795,6816,7552,7447,7428,9027,7233,
6999,7222,6489,7706,6446,7580,6625,7238,6994,7262,6627,7268,6629,7278,6604,7536,
8191,7529,6641,7538,8197,5797,8413,7563,7413,7449,7446,7448,9308,5799,6830,6996,
7708,6645,7550,6729,7282,6741,7556,6745,7286,6728,9008,5931,8199,6285,6448,9340,
6700,6634,7558,6647,7288,6649,7290,6462,7722,7461,7567,7415,7463,7569,7417,7462,
7583,7419,7482,7466,7726,7467,7585,7451,7728,9041,7570,8311,5713,7235,8313,5715,
7237,8317,5717,7239,41131,8318,5719,7259,6742,7740,6744,7572,6747,7292,6749,
7412,7561,5913,7271,6781,7712,7742,7746,7578,9125,7273,8319,5915,7275,6785,7716,
7592,7581,5711,7590,6789,7416,7748,9342,7720,6636,7596,6825,7468,9127,7261,8513,
7245,6464,7780,6466,7782,6468,9500,6281,8334,7730,6638,9334,8331,8514,7247,4466,
7249,4444,7400,6746,7296,6748,9042,7786,6672,7788,6674,7736,6678,9344,8336,8516,
7263,6667,7420,6661,7738,6692,7900,4468,9029,4204,6670,6720,6690,6740,6482,7902,
4484,7241,6782,7440,6784,7450,6786,7418,9348,9338,8333,8533,8233,8237,4834,7277,
4604,7279,4606,7291,6788,9044,7750,6694,7752,6484,7906,4486,7267,4488,9045,6204,
8338,8517,7269,6685,7452,6902,7460,6669,7456,6486,7908,4602,7281,6904,7458,6681,
7756,6488,9360,6780,6696,6900,4608,9047,4206,8251,6906,7470,6689,7472,6606,7758,
6602,7920,4622,7283,6827,7478,6829,7490,6802,7922,7469,7483,7481,7926,7486,7485,
7488,9362,7928,4836,7293,6841,7718,9048,9364,8530,8239,4838,6814,7940,4624,7285,
6608,9368,6908,4890,6289,4446,7480,6922,7800,6845,7802,6924,7806,6847,7808,6849,
7820,6642,7942,4626,7289,4448,9040,6920,4850,6861,7946,4628,9049,4208,6818,9370,
6925,8234,8537,8253,6867,7492,6869,7496,7489,7725,7812,7589,7727,7816,7199,7723,
7453,7729,7455,7741,7772,7745,7778,5911,5933,8257,8027,7295,6881,7792,7842,7948,
9022,7823,8417,7783,6885,7770,6944,7790,6889,7796,7846,7962,7785,7457,7966,7459,
7825,7471,7747,7818,9111,7749,6834,7950,8123,7297,4802,7827,7822,7829,7826,7841,
7968,9024,7299,4852,7845,9382,7781,7912,9384,5935,8236,8519,7847,7852,7789,7848,
9314,7923,8419,7849,6644,7960,8127,7473,7861,7513,7863,7475,7866,7515,7867,7517,
7869,7477,7868,9113,7881,8351,9502,7883,7311,9388,5917,7830,8353,7925,7479,7927,
7491,7929,7493,7885,7315,9504,5937,4856,7495,7862,7945,7882,7941,9508,5919,5939

-----Ursprungligt meddelande----- 
From: Eric Angelini
Sent: Monday, January 20, 2014 7:40 PM
To: Sequence Fanatics Discussion list
Cc: alexandre.wajnberg at skynet.be ; Jean-Marc Falcoz
Subject: [seqfan] Same parity jumps

Hello SeqFans,

The sequence J must be read, digit by digit, from left to right;
any digit "d" of J says: "Jump to the right over "d" digit and
you'll land on a digit with the same parity as me".

J = 1, 2, 3, 4, 6, 7, 5, 8, 20, 42, 9, 30, 22, 34, 41, 33, 44, 13, 36, ...

J was build starting with a(1)=1 and was always extended with the
smallest unused integer not leading to a contradiction.

> more explanations here :
http://www.cetteadressecomportecinquantesignes.com/SameParityJumps.htm

Best,
É.

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