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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

%I

%S 12790,10875,12790,1955,21569,28595,12790,21066,10,9834,12334,18560,

%T 18967,13242,12791,18446,7264,35928,12,3822,22467,19223,6279,1955,

%U 39245,10875,5231,15110,14,6051,12790,13758,36733,4545,21569,17913,20964,9186,15,23833

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

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

%H V. Raman, <a href="/A217184/b217184.txt">Table of n, a(n) for n = 2..100</a>

%t 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 *)

%Y Cf. A217164, A217174.

%K nonn,base

%O 2,1

%A _V. Raman_, Sep 27 2012

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Last modified May 28 07:30 EDT 2022. Contains 354112 sequences. (Running on oeis4.)