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A217184 a(n) is the number of digits in the decimal representation of the smallest power of n that contains nine consecutive identical digits. 1
12790, 10875, 12790, 1955, 21569, 28595, 12790, 21066, 10, 9834, 12334, 18560, 18967, 13242, 12791, 18446, 7264, 35928, 12, 3822, 22467, 19223, 6279, 1955, 39245, 10875, 5231, 15110, 14, 6051, 12790, 13758, 36733, 4545, 21569, 17913, 20964, 9186, 15, 23833 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Number of digits in n^k is equal to floor(1 + k*log_10(n)).

LINKS

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

MATHEMATICA

Table[k = 1; While[d = IntegerDigits[n^k]; ! MemberQ[Partition[Differences[d], 8, 1], {0, 0, 0, 0, 0, 0, 0, 0}], k++]; Length[d], {n, 2, 10}] (* T. D. Noe, Oct 03 2012 *)

CROSSREFS

Cf. A217164, A217174.

Sequence in context: A187600 A187597 A203273 * A184784 A184780 A206796

Adjacent sequences:  A217181 A217182 A217183 * A217185 A217186 A217187

KEYWORD

nonn,base

AUTHOR

V. Raman, Sep 27 2012

STATUS

approved

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Last modified January 17 04:08 EST 2022. Contains 350377 sequences. (Running on oeis4.)