A217184 a(n) is the number of digits in the decimal representation of the smallest power of n that contains nine consecutive identical digits.

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

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