[seqfan] Re: Divisible by the digits of a(n-1)

Lars Blomberg lars.blomberg at visit.se
Fri Feb 14 20:04:38 CET 2014


Found the first 1000 terms to be:

1,2,4,8,16,6,12,10,3,9,18,24,20,14,28,32,30,15,5,25,40,36,42,44,48,56,60,54,80,
64,72,70,7,21,22,26,66,78,112,34,84,88,96,90,27,98,144,52,50,35,45,100,11,13,33,
39,63,102,38,120,46,108,104,68,168,192,126,114,76,210,58,160,132,138,216,150,55,
65,180,128,136,156,240,92,162,174,140,116,186,264,204,124,148,152,110,17,49,252,
130,51,75,105,85,200,62,198,288,176,294,324,228,184,208,224,164,276,336,222,74,
196,234,300,57,175,245,220,82,232,246,312,258,280,248,256,270,154,260,282,272,
182,296,306,318,360,330,69,342,348,384,408,304,372,378,504,320,354,420,172,238,
432,396,414,188,328,456,480,344,444,212,86,528,400,236,366,390,81,352,450,340,
468,552,170,77,91,99,117,119,135,165,510,95,225,190,153,195,315,255,230,402,244,
268,576,630,426,492,540,380,600,438,624,516,570,350,285,440,284,368,648,672,462,
564,660,474,308,696,486,720,266,498,792,756,840,376,546,780,392,522,250,290,558,
520,310,87,448,416,588,560,690,594,900,171,133,93,189,864,744,364,612,534,960,
666,582,640,636,606,618,768,1008,424,292,684,816,888,464,708,616,642,732,714,
476,924,828,472,532,750,385,1080,488,496,936,702,322,654,1020,94,972,882,512,
370,147,644,804,536,810,544,460,852,680,912,738,1176,798,1512,410,316,678,1344,
876,1680,984,1152,430,948,1224,332,726,966,774,700,161,762,1050,115,125,470,728,
784,896,1296,846,1032,786,1848,568,1200,106,822,584,760,1092,918,1368,1056,870,
952,990,207,406,996,954,1260,834,1104,356,930,243,1044,388,1128,592,1170,203,
858,800,608,1248,632,894,1440,404,412,428,656,1110,19,261,906,1026,942,1116,978,
2016,1002,118,664,1068,1272,434,1140,436,1164,1188,688,1320,1014,452,500,145,
580,880,704,812,712,490,1332,1038,1392,1062,1074,868,1416,1212,122,134,1236,
1086,1464,1284,736,1134,1308,1488,752,770,217,518,920,1098,1584,1000,23,1122,
142,484,776,1218,808,824,832,1536,1230,1146,1356,1290,1206,1158,1040,508,1120,
146,1380,1560,1350,345,1500,155,185,1160,1182,848,856,1800,872,1064,1404,524,
620,1194,1476,1428,904,1548,1240,548,1280,928,1656,1410,556,1470,980,1728,1232,
1242,572,910,279,1386,1608,1632,1254,740,1036,1266,1278,1288,944,1620,1302,1314,
1452,820,968,1872,1400,596,1530,375,525,530,405,860,1704,1148,976,1638,1752,
1190,297,1764,1596,1710,231,1326,1338,1776,1554,940,1692,1422,604,1524,1060,
1362,1374,1932,1458,1360,1398,1944,1836,1824,992,1494,1908,2088,1016,1434,1572,
1330,111,29,1566,1590,495,1980,2160,1446,1644,1668,1896,2232,1482,1024,628,1920,
1602,1506,1650,1740,1204,652,1770,259,1890,2304,1716,1722,574,1540,1100,31,123,
1518,1480,1048,1072,602,1542,1180,1088,1096,1674,2100,158,1520,550,205,590,585,
1600,1578,1960,1746,2184,1112,166,1614,1788,1456,1860,1968,2376,1806,1992,1782,
1568,2040,668,2064,1812,1136,1626,1662,1686,2112,178,1624,1884,1144,676,1974,
2268,2136,1698,2448,1168,2208,1184,1192,1818,1208,1216,1734,2352,1830,2256,1950,
675,2310,1758,2240,692,1854,1640,1956,2070,658,2280,1256,2010,194,2052,610,1794,
2520,650,2130,1842,1264,2004,716,2058,1720,686,2328,2400,724,1316,1866,2424,748,
1736,2142,764,2436,2028,1304,2076,2226,1878,1792,2394,2124,772,742,1372,2478,
1904,2196,1926,1962,1998,2592,2250,670,2562,2190,2034,2148,1312,1902,2106,1914,
2340,2172,826,2472,1484,1328,2496,2412,788,2072,854,1760,2604,2220,202,206,1938,
2664,2244,796,2646,2292,2178,2128,1336,1986,2736,2688,2544,1220,214,836,2568,
2640,2316,2022,218,1352,2370,2730,2772,938,2808,1376,2814,1384,2616,2046,2364,
2388,2712,994,2484,1408,1424,844,1432,2460,2508,1840,1448,1472,1652,2430,2532,
2490,2556,2550,710,273,2856,2760,2898,2880,1496,2628,2784,2296,2214,884,1504,
1300,129,2286,2832,2904,2700,1022,226,2082,1528,1880,1544,1340,2580,2000,242,
892,2952,2610,2094,2844,1552,730,357,735,945,3060,2118,1576,2940,2916,2322,2154,
1420,908,3024,2652,2670,2982,3096,2358,3000,141,916,2466,2676,3066,2166,2202,
254,1460,2724,1708,2408,1592,2790,3150,435,2820,1616,2238,2928,3168,2976,3276,
3108,3048,3072,3192,2502,790,441,932,2538,3120,2262,2274,1820,1648,3144,2748,
2464,2796,3402,2868,3216,2298,3240,2892,3312,2334,2964,2988,3384,3264,3012,2346,
3036,2382,3288,3336,2406,3084,3360,2418,1664,3132,2442,956,2970,3528,3480,3408,
3432,3156,2850,2080,1672,3234,3180,3456,3300,159,765,3570,1155,215,830,3504,
3420,3204,3228,3552,2910,2574,2380,3576,3780,3696,2682,3600,2454,1580,2120,262,
2514,1660,2526,3030,177,287,2576,3990,333,183,3624,3252,3090,351,465,3540,3660,
2586,3720,3318,3648,3672,3444,3324,3348,3744,3612,2598,3960,2718,2632,2622,2634,
3372,3486,3768,3864,3792,3654,3840,3816,3888,3912,2754,2660,2658,4080,1688,3936,
2826

Regards
Lars B

-----Ursprungligt meddelande----- 
From: Eric Angelini
Sent: Friday, February 14, 2014 8:33 AM
To: Sequence Discussion list
Subject: [seqfan] Divisible by the digits of a(n-1)


Hello SeqFans,
a nice permutation of the Naturals, I guess:
a(1)=1
a(n) is always the smallest integer not
yet in the sequence, divisible by all digits
of a(n-1) except zero.
a(2)=2 because 2 is the smallest integer divisible by 1;
a(3)=4 because 4 is the smallest integer divisible by 2;
a(4)=8 because 8 is the smallest integer divisible by 4;
a(5)=16 because 16 is the smallest integer divisible by 8;
a(6)=6 because 6 is the smallest integer divisible by 1 and 6;
a(7)=12 because 12 is the smallest integer divisible by 6;
a(8)=10 because 10 is the smallest integer divisible by 1 and 2;
a(9)=3 because 3 is the smallest integer divisible by 1 (division by 0 
skippers);
etc.

S=1,2,4,8,16,6,12,10,3,9,18,24,20,14,...

Best,
É.
Catapulté de mon aPhone

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