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A217183 a(n) is the number of digits in the decimal representation of the smallest power of n that contains eight consecutive identical digits. 1
2576, 3684, 2576, 1951, 6640, 5220, 4012, 3684, 9, 3107, 2623, 6107, 1207, 5916, 4217, 7114, 4999, 6018, 11, 3396, 6511, 3732, 6279, 1951, 990, 4237, 3877, 4676, 12, 6051, 4078, 4731, 5263, 1838, 10317, 1086, 5173, 9186, 13, 11285, 5740, 9697, 1064, 5297 (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], 7, 1], {0, 0, 0, 0, 0, 0, 0}], k++]; Length[d], {n, 2, 10}] (* T. D. Noe, Oct 03 2012 *)

CROSSREFS

Cf. A217163, A217173.

Sequence in context: A031789 A001294 A109026 * A034415 A201510 A303400

Adjacent sequences:  A217180 A217181 A217182 * A217184 A217185 A217186

KEYWORD

nonn,base

AUTHOR

V. Raman, Sep 27 2012

STATUS

approved

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Last modified August 10 08:28 EDT 2020. Contains 336368 sequences. (Running on oeis4.)