A217183 a(n) is the number of digits in the decimal representation of the smallest power of n that contains eight consecutive identical digits.

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

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