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Minimal k > 1 such that the base-k representation of the n-th palindrome in A002113, read in decimal, is also palindrome.
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%I #8 Jan 19 2014 00:00:26

%S 2,2,3,2,3,2,5,2,3,2,10,10,2,10,4,10,10,5,2,10,6,3,10,6,3,10,7,10,6,

%T 10,3,10,10,3,5,10,10,5,7,10,2,10,8,6,10,10,4,10,4,10,8,10,6,10,10,9,

%U 10,3,10,10,10,10,10,10,9,10,10,2,10,10,10,5,10,9,3,4,5,10,10,10,2,10,10,10,3

%N Minimal k > 1 such that the base-k representation of the n-th palindrome in A002113, read in decimal, is also palindrome.

%C We conjecture that limit of average (a(1)+...+a(n))/n exists and equals 10.

%Y Cf. A002113, A235354.

%K nonn,base

%O 1,1

%A _Vladimir Shevelev_, Jan 17 2014