[seqfan] Re: 2014 wishes -- with jumps

Thu Dec 19 20:24:23 CET 2013

Starting with 18257, I find the following 2014 terms.

Regards
Lars

18257,18264,18268,18276,18282,18284,18288,18296,18302,18304,18308,18316,18322,
18324,18328,18336,18342,18344,18348,18356,18362,18364,18368,18376,18382,18384,
18388,18396,18402,18404,18408,18416,18422,18424,18428,18436,18442,18444,18448,
18456,18462,18464,18468,18476,18482,18484,18488,18496,18502,18504,18508,18516,
18522,18524,18528,18536,18542,18544,18548,18556,18562,18564,18568,18576,18582,
18584,18588,18596,18602,18604,18608,18616,18622,18624,18628,18636,18642,18644,
18648,18656,18662,18664,18668,18676,18682,18684,18688,18696,18702,18704,18708,
18716,18722,18724,18728,18736,18742,18744,18748,18756,18762,18764,18768,18776,
18782,18784,18788,18796,18802,18804,18808,18816,18822,18824,18828,18836,18842,
18844,18848,18856,18862,18864,18868,18876,18882,18884,18888,18896,18902,18904,
18908,18916,18922,18924,18928,18936,18942,18944,18948,18956,18962,18964,18968,
18976,18982,18984,18988,18996,19002,19004,19008,19016,19022,19024,19028,19036,
19042,19044,19048,19056,19062,19064,19068,19076,19082,19084,19088,19096,19102,
19104,19108,19116,19122,19124,19128,19136,19142,19144,19148,19156,19162,19164,
19168,19176,19182,19184,19188,19196,19202,19204,19208,19216,19222,19224,19228,
19236,19242,19244,19248,19256,19262,19264,19268,19276,19282,19284,19288,19296,
19302,19304,19308,19316,19322,19324,19328,19336,19342,19344,19348,19356,19362,
19364,19368,19376,19382,19384,19388,19396,19402,19404,19408,19416,19422,19424,
19428,19436,19442,19444,19448,19456,19462,19464,19468,19476,19482,19484,19488,
19496,19502,19504,19508,19516,19522,19524,19528,19536,19542,19544,19548,19556,
19562,19564,19568,19576,19582,19584,19588,19596,19602,19604,19608,19616,19622,
19624,19628,19636,19642,19644,19648,19656,19662,19664,19668,19676,19682,19684,
19688,19696,19702,19704,19708,19716,19722,19724,19728,19736,19742,19744,19748,
19756,19762,19764,19768,19776,19782,19784,19788,19796,19802,19804,19808,19816,
19822,19824,19828,19836,19842,19844,19848,19856,19862,19864,19868,19876,19882,
19884,19888,19896,19902,19904,19908,19916,19922,19924,19928,19936,19942,19944,
19948,19956,19962,19964,19968,19976,19982,19984,19988,20004,20012,20016,20028,
20044,20052,20056,20068,20084,20092,20096,20108,20124,20132,20136,20148,20164,
20172,20176,20188,20204,20212,20216,20228,20244,20252,20256,20268,20284,20292,
20296,20308,20324,20332,20336,20348,20364,20372,20376,20388,20404,20412,20416,
20428,20444,20452,20456,20468,20484,20492,20496,20508,20524,20532,20536,20548,
20564,20572,20576,20588,20604,20612,20616,20628,20644,20652,20656,20668,20684,
20692,20696,20708,20724,20732,20736,20748,20764,20772,20776,20788,20804,20812,
20816,20828,20844,20852,20856,20868,20884,20892,20896,20908,20924,20932,20936,
20948,20964,20972,20976,20988,21004,21012,21016,21028,21044,21052,21056,21068,
21084,21092,21096,21108,21124,21132,21136,21148,21164,21172,21176,21188,21204,
21212,21216,21228,21244,21252,21256,21268,21284,21292,21296,21308,21324,21332,
21336,21348,21364,21372,21376,21388,21404,21412,21416,21428,21444,21452,21456,
21468,21484,21492,21496,21508,21524,21532,21536,21548,21564,21572,21576,21588,
21604,21612,21616,21628,21644,21652,21656,21668,21684,21692,21696,21708,21724,
21732,21736,21748,21764,21772,21776,21788,21804,21812,21816,21828,21844,21852,
21856,21868,21884,21892,21896,21908,21924,21932,21936,21948,21964,21972,21976,
21988,22004,22012,22016,22028,22044,22052,22056,22068,22084,22092,22096,22108,
22124,22132,22136,22148,22164,22172,22176,22188,22204,22212,22216,22228,22244,
22252,22256,22268,22284,22292,22296,22308,22324,22332,22336,22348,22364,22372,
22376,22388,22404,22412,22416,22428,22444,22452,22456,22468,22484,22492,22496,
22508,22524,22532,22536,22548,22564,22572,22576,22588,22604,22612,22616,22628,
22644,22652,22656,22668,22684,22692,22696,22708,22724,22732,22736,22748,22764,
22772,22776,22788,22804,22812,22816,22828,22844,22852,22856,22868,22884,22892,
22896,22908,22924,22932,22936,22948,22964,22972,22976,22988,23004,23012,23016,
23028,23044,23052,23056,23068,23084,23092,23096,23108,23124,23132,23136,23148,
23164,23172,23176,23188,23204,23212,23216,23228,23244,23252,23256,23268,23284,
23292,23296,23308,23324,23332,23336,23348,23364,23372,23376,23388,23404,23412,
23416,23428,23444,23452,23456,23468,23484,23492,23496,23508,23524,23532,23536,
23548,23564,23572,23576,23588,23604,23612,23616,23628,23644,23652,23656,23668,
23684,23692,23696,23708,23724,23732,23736,23748,23764,23772,23776,23788,23804,
23812,23816,23828,23844,23852,23856,23868,23884,23892,23896,23908,23924,23932,
23936,23948,23964,23972,23976,23988,24004,24012,24016,24028,24044,24052,24056,
24068,24084,24092,24096,24108,24124,24132,24136,24148,24164,24172,24176,24188,
24204,24212,24216,24228,24244,24252,24256,24268,24284,24292,24296,24308,24324,
24332,24336,24348,24364,24372,24376,24388,24404,24412,24416,24428,24444,24452,
24456,24468,24484,24492,24496,24508,24524,24532,24536,24548,24564,24572,24576,
24588,24604,24612,24616,24628,24644,24652,24656,24668,24684,24692,24696,24708,
24724,24732,24736,24748,24764,24772,24776,24788,24804,24812,24816,24828,24844,
24852,24856,24868,24884,24892,24896,24908,24924,24932,24936,24948,24964,24972,
24976,24988,25004,25012,25016,25028,25044,25052,25056,25068,25084,25092,25096,
25108,25124,25132,25136,25148,25164,25172,25176,25188,25204,25212,25216,25228,
25244,25252,25256,25268,25284,25292,25296,25308,25324,25332,25336,25348,25364,
25372,25376,25388,25404,25412,25416,25428,25444,25452,25456,25468,25484,25492,
25496,25508,25524,25532,25536,25548,25564,25572,25576,25588,25604,25612,25616,
25628,25644,25652,25656,25668,25684,25692,25696,25708,25724,25732,25736,25748,
25764,25772,25776,25788,25804,25812,25816,25828,25844,25852,25856,25868,25884,
25892,25896,25908,25924,25932,25936,25948,25964,25972,25976,25988,26004,26012,
26016,26028,26044,26052,26056,26068,26084,26092,26096,26108,26124,26132,26136,
26148,26164,26172,26176,26188,26204,26212,26216,26228,26244,26252,26256,26268,
26284,26292,26296,26308,26324,26332,26336,26348,26364,26372,26376,26388,26404,
26412,26416,26428,26444,26452,26456,26468,26484,26492,26496,26508,26524,26532,
26536,26548,26564,26572,26576,26588,26604,26612,26616,26628,26644,26652,26656,
26668,26684,26692,26696,26708,26724,26732,26736,26748,26764,26772,26776,26788,
26804,26812,26816,26828,26844,26852,26856,26868,26884,26892,26896,26908,26924,
26932,26936,26948,26964,26972,26976,26988,27004,27012,27016,27028,27044,27052,
27056,27068,27084,27092,27096,27108,27124,27132,27136,27148,27164,27172,27176,
27188,27204,27212,27216,27228,27244,27252,27256,27268,27284,27292,27296,27308,
27324,27332,27336,27348,27364,27372,27376,27388,27404,27412,27416,27428,27444,
27452,27456,27468,27484,27492,27496,27508,27524,27532,27536,27548,27564,27572,
27576,27588,27604,27612,27616,27628,27644,27652,27656,27668,27684,27692,27696,
27708,27724,27732,27736,27748,27764,27772,27776,27788,27804,27812,27816,27828,
27844,27852,27856,27868,27884,27892,27896,27908,27924,27932,27936,27948,27964,
27972,27976,27988,28004,28012,28016,28028,28044,28052,28056,28068,28084,28092,
28096,28108,28124,28132,28136,28148,28164,28172,28176,28188,28204,28212,28216,
28228,28244,28252,28256,28268,28284,28292,28296,28308,28324,28332,28336,28348,
28364,28372,28376,28388,28404,28412,28416,28428,28444,28452,28456,28468,28484,
28492,28496,28508,28524,28532,28536,28548,28564,28572,28576,28588,28604,28612,
28616,28628,28644,28652,28656,28668,28684,28692,28696,28708,28724,28732,28736,
28748,28764,28772,28776,28788,28804,28812,28816,28828,28844,28852,28856,28868,
28884,28892,28896,28908,28924,28932,28936,28948,28964,28972,28976,28988,29004,
29012,29016,29028,29044,29052,29056,29068,29084,29092,29096,29108,29124,29132,
29136,29148,29164,29172,29176,29188,29204,29212,29216,29228,29244,29252,29256,
29268,29284,29292,29296,29308,29324,29332,29336,29348,29364,29372,29376,29388,
29404,29412,29416,29428,29444,29452,29456,29468,29484,29492,29496,29508,29524,
29532,29536,29548,29564,29572,29576,29588,29604,29612,29616,29628,29644,29652,
29656,29668,29684,29692,29696,29708,29724,29732,29736,29748,29764,29772,29776,
29788,29804,29812,29816,29828,29844,29852,29856,29868,29884,29892,29896,29908,
29924,29932,29936,29948,29964,29972,29976,29988,30012,30018,30042,30048,30072,
30078,30102,30108,30132,30138,30162,30168,30192,30198,30222,30228,30252,30258,
30282,30288,30312,30318,30342,30348,30372,30378,30402,30408,30432,30438,30462,
30468,30492,30498,30522,30528,30552,30558,30582,30588,30612,30618,30642,30648,
30672,30678,30702,30708,30732,30738,30762,30768,30792,30798,30822,30828,30852,
30858,30882,30888,30912,30918,30942,30948,30972,30978,31002,31008,31032,31038,
31062,31068,31092,31098,31122,31128,31152,31158,31182,31188,31212,31218,31242,
31248,31272,31278,31302,31308,31332,31338,31362,31368,31392,31398,31422,31428,
31452,31458,31482,31488,31512,31518,31542,31548,31572,31578,31602,31608,31632,
31638,31662,31668,31692,31698,31722,31728,31752,31758,31782,31788,31812,31818,
31842,31848,31872,31878,31902,31908,31932,31938,31962,31968,31992,31998,32022,
32028,32052,32058,32082,32088,32112,32118,32142,32148,32172,32178,32202,32208,
32232,32238,32262,32268,32292,32298,32322,32328,32352,32358,32382,32388,32412,
32418,32442,32448,32472,32478,32502,32508,32532,32538,32562,32568,32592,32598,
32622,32628,32652,32658,32682,32688,32712,32718,32742,32748,32772,32778,32802,
32808,32832,32838,32862,32868,32892,32898,32922,32928,32952,32958,32982,32988,
33012,33018,33042,33048,33072,33078,33102,33108,33132,33138,33162,33168,33192,
33198,33222,33228,33252,33258,33282,33288,33312,33318,33342,33348,33372,33378,
33402,33408,33432,33438,33462,33468,33492,33498,33522,33528,33552,33558,33582,
33588,33612,33618,33642,33648,33672,33678,33702,33708,33732,33738,33762,33768,
33792,33798,33822,33828,33852,33858,33882,33888,33912,33918,33942,33948,33972,
33978,34002,34008,34032,34038,34062,34068,34092,34098,34122,34128,34152,34158,
34182,34188,34212,34218,34242,34248,34272,34278,34302,34308,34332,34338,34362,
34368,34392,34398,34422,34428,34452,34458,34482,34488,34512,34518,34542,34548,
34572,34578,34602,34608,34632,34638,34662,34668,34692,34698,34722,34728,34752,
34758,34782,34788,34812,34818,34842,34848,34872,34878,34902,34908,34932,34938,
34962,34968,34992,34998,35022,35028,35052,35058,35082,35088,35112,35118,35142,
35148,35172,35178,35202,35208,35232,35238,35262,35268,35292,35298,35322,35328,
35352,35358,35382,35388,35412,35418,35442,35448,35472,35478,35502,35508,35532,
35538,35562,35568,35592,35598,35622,35628,35652,35658,35682,35688,35712,35718,
35742,35748,35772,35778,35802,35808,35832,35838,35862,35868,35892,35898,35922,
35928,35952,35958,35982,35988,36012,36018,36042,36048,36072,36078,36102,36108,
36132,36138,36162,36168,36192,36198,36222,36228,36252,36258,36282,36288,36312,
36318,36342,36348,36372,36378,36402,36408,36432,36438,36462,36468,36492,36498,
36522,36528,36552,36558,36582,36588,36612,36618,36642,36648,36672,36678,36702,
36708,36732,36738,36762,36768,36792,36798,36822,36828,36852,36858,36882,36888,
36912,36918,36942,36948,36972,36978,37002,37008,37032,37038,37062,37068,37092,
37098,37122,37128,37152,37158,37182,37188,37212,37218,37242,37248,37272,37278,
37302,37308,37332,37338,37362,37368,37392,37398,37422,37428,37452,37458,37482,
37488,37512,37518,37542,37548,37572,37578,37602,37608,37632,37638,37662,37668,
37692,37698,37722,37728,37752,37758,37782,37788,37812,37818,37842,37848,37872,
37878,37902,37908,37932,37938,37962,37968,37992,37998,38022,38028,38052,38058,
38082,38088,38112,38118,38142,38148,38172,38178,38202,38208,38232,38238,38262,
38268,38292,38298,38322,38328,38352,38358,38382,38388,38412,38418,38442,38448,
38472,38478,38502,38508,38532,38538,38562,38568,38592,38598,38622,38628,38652,
38658,38682,38688,38712,38718,38742,38748,38772,38778,38802,38808,38832,38838,
38862,38868,38892,38898,38922,38928,38952,38958,38982,38988,39012,39018,39042,
39048,39072,39078,39102,39108,39132,39138,39162,39168,39192,39198,39222,39228,
39252,39258,39282,39288,39312,39318,39342,39348,39372,39378,39402,39408,39432,
39438,39462,39468,39492,39498,39522,39528,39552,39558,39582,39588,39612,39618,
39642,39648,39672,39678,39702,39708,39732,39738,39762,39768,39792,39798,39822,
39828,39852,39858,39882,39888,39912,39918,39942,39948,39972,39978,40010

-----Ursprungligt meddelande----- 
From: Eric Angelini
Sent: Thursday, December 19, 2013 7:02 PM
To: Sequence Fanatics Discussion list
Subject: [seqfan] 2014 wishes -- with jumps

Hello SeqFans,

The idea behind the monotonically increasing sequence S is that the 
difference between a(n) and a(n+1) is given by the product z*a, "z" being 
the last digit of a(n) and "a" being the first digit of a(n+1).

An example of such a pair is (36,78); we see that |36-78|=42 and 42 is 
indeed 6*7.

My intuition is that S, whatever a(1), will always be finite. But, 
paradoxically, that the length of S can be arbitrarily long.

The finiteness of S comes from two facts:

- S stops immediately when "z", the last digit of a(n), is equal to 0;
- S cannot be extended, sometimes, because there is no product available to 
jump from a(n) to a(n+1). An example is given by 58: if you try to start 
a(n+1) with "a" = 1 or 2 or 3 or... 9, you will fail.

For a(1)=6, for instance, S stops after 6,12,14,18,58.

Please note that a(n) can be followed, sometimes, by more than one a(n+1). S 
will stop also after 6,12,14,18,66.

My question is:
What is the smallest a(1) producing a 2014-term sequence?

Best wishes to Neil, his team and all Seqfans!
;-D
Best,
É.

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