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Exponent of highest power of 11 dividing the n-th decimal palindrome; a(0) = 1.
2

%I #5 Sep 05 2020 15:53:17

%S 1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,

%T 0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,

%U 0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0

%N Exponent of highest power of 11 dividing the n-th decimal palindrome; a(0) = 1.

%t IntegerExponent[#,11]&/@Select[Range[0,1000],PalindromeQ]/.\[Infinity]->1 (* Requires Mathematica version 10 or later *) (* _Harvey P. Dale_, Sep 05 2020 *)

%Y Cf. A083851, A083852, A002113, A008593.

%K nonn,base

%O 0,22

%A _Reinhard Zumkeller_, May 06 2003