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A217164 a(n) is the least value of k such that the decimal expansion of n^k contains nine consecutive identical digits. 3
42485, 22791, 21243, 2796, 27717, 33836, 14162, 22076, 9, 9443, 11429, 16661, 16548, 11259, 10622, 14991, 5786, 28096, 9, 2890, 16736, 14116, 4549, 1398, 27735, 7597, 3614, 10332, 9, 4057, 8497, 9060, 23985, 2943, 13859, 11422, 13270, 5773, 9, 14777, 11541 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

LINKS

V. Raman, Table of n, a(n) for n = 2..100

MATHEMATICA

Table[k = 1; While[! MemberQ[Partition[Differences[IntegerDigits[n^k]], 8, 1], {0, 0, 0, 0, 0, 0, 0, 0}], k++]; k, {n, 2, 50}] (* T. D. Noe, Oct 01 2012 *)

CROSSREFS

Cf. A045875, A215727, A215728, A215729, A215730, A215731.

Sequence in context: A271749 A031670 A237312 * A062694 A210264 A251245

Adjacent sequences:  A217161 A217162 A217163 * A217165 A217166 A217167

KEYWORD

nonn,base

AUTHOR

V. Raman, Sep 27 2012

STATUS

approved

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Last modified October 14 18:28 EDT 2019. Contains 328022 sequences. (Running on oeis4.)