

A217190


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


0



1, 2, 9, 41, 163, 502, 1378, 3107, 9834, 41530, 223636, 308352, 308352
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

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


LINKS

Table of n, a(n) for n=1..13.


MATHEMATICA

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 *)


CROSSREFS

Cf. A215731, A215737.
Sequence in context: A052322 A130767 A273461 * A020698 A128752 A074611
Adjacent sequences: A217187 A217188 A217189 * A217191 A217192 A217193


KEYWORD

nonn,base


AUTHOR

V. Raman, Sep 27 2012


EXTENSIONS

a(10)a(13) added by V. Raman, Apr 30 2012, in correspondence with A215731.


STATUS

approved



