A217164 a(n) is the least value of k such that the decimal expansion of n^k contains nine consecutive identical digits.

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

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