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A216137 a(n) = conjectured number of integers k such that n^k has no two consecutive identical digits. 1
40, 24, 22, 23, 10, 12, 14, 13, 1, 8, 7, 10, 10, 8, 12, 8, 6, 6, 1, 6, 6, 9, 6, 12, 8, 9, 8, 10, 1, 8, 8, 6, 5, 6, 5, 8, 8, 5, 1, 10, 5, 4, 7, 8, 6, 4, 6, 5, 1, 6, 6, 8, 7, 6, 6, 6, 4, 5, 1, 7, 5, 5, 8, 5, 4, 4, 3, 6, 1, 4, 7, 5, 5, 8, 3, 4, 5, 7, 1, 4, 6, 7, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

T. D. Noe, Table of n, a(n) for n = 2..1000

MATHEMATICA

Table[cnt = 0; Do[If[! MemberQ[Differences[IntegerDigits[n^k]], 0], cnt++], {k, 1000}]; cnt, {n, 2, 100}] (* T. D. Noe, Sep 20 2012 *)

CROSSREFS

Cf. A216063, A216064, A216065.

Sequence in context: A033360 A029543 A097208 * A163956 A229661 A070724

Adjacent sequences:  A216134 A216135 A216136 * A216138 A216139 A216140

KEYWORD

nonn,base

AUTHOR

V. Raman, Sep 01 2012

STATUS

approved

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Last modified December 9 03:18 EST 2021. Contains 349625 sequences. (Running on oeis4.)