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 A292439 List of numbers k whose consecutive digits increase or decrease by d-1, where d is the number of digits in k. 0
 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 21, 23, 32, 34, 43, 45, 54, 56, 65, 67, 76, 78, 87, 89, 98, 131, 135, 202, 242, 246, 313, 353, 357, 420, 424, 464, 468, 531, 535, 575, 579, 642, 646, 686, 753, 757, 797, 864, 868, 975, 979, 1414, 1474, 2525, 2585, 3030, 3036, 3630, 3636, 3696, 4141, 4147, 4741, 4747, 5252, 5258, 5852, 5858, 6303, 6363, 6369, 6963, 6969, 7414, 7474, 8525, 8585, 9630, 9636, 9696, 15151, 15159, 15951, 15959, 26262, 37373, 40404, 40484, 48404, 48484, 51515, 51595, 59515, 59595, 62626, 73737, 84040, 84048, 84840, 84848, 95151, 95159, 95951, 95959, 161616, 272727, 383838, 494949, 505050, 616161, 727272, 838383, 949494, 1717171, 2828282, 3939393, 6060606, 7171717, 8282828, 9393939, 18181818, 29292929, 70707070, 81818181, 92929292, 191919191, 808080808, 919191919, 9090909090 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Finite, 131 terms. LINKS MATHEMATICA Range[0, 9]~Join~Select[Union[Range[10^5], Flatten@ Map[Map[FromDigits /@ {Drop[#, -1], #} &, Table[Flatten@ ConstantArray[#, k], {k, 3, 5}]] &, IntegerDigits@ Range[10, 99]]], If[Length@ #1 == 1, First@ #1 == #2 - 1, False] & @@ {Union@ Abs@ Differences@ #, Length@ #} &@ IntegerDigits[#] &] (* Michael De Vlieger, Dec 09 2017 *) PROG (PARI) is(n) = for(i=2, #n=digits(n), if(abs(n[i]-n[i-1]) != #n-1, return(0))); 1 \\ Iain Fox, Dec 08 2017 CROSSREFS Sequence in context: A255734 A033075 A215014 * A132577 A247167 A044960 Adjacent sequences:  A292436 A292437 A292438 * A292440 A292441 A292442 KEYWORD nonn,base,fini,full AUTHOR Enrique Navarrete, Dec 08 2017 STATUS approved

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Last modified January 19 20:33 EST 2019. Contains 319310 sequences. (Running on oeis4.)