%I #10 Apr 30 2013 20:16:18

%S 1,2,9,41,163,502,1378,3107,9834,41530,223636,308352,308352

%N a(n) is the number of digits in the decimal representation of the smallest power of 11 that contains n consecutive identical digits.

%C Number of digits in 11^k is equal to floor(1 + k*log_10(11)).

%t k = 0; Join[{1}, Table[While[d = IntegerDigits[11^k]; prt = Partition[Differences[d], n - 1, 1]; ! MemberQ[prt, Table[0, {n - 1}]], k++]; Length[d], {n, 2, 8}]] (* _T. D. Noe_, Oct 03 2012 *)

%Y Cf. A215731, A215737.

%K nonn,base

%O 1,2

%A _V. Raman_, Sep 27 2012

%E a(10)-a(13) added by _V. Raman_, Apr 30 2012, in correspondence with A215731.