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A083868 Number of palindromic divisors d of n-th decimal palindrome m, such that 9<d<m. 1

%I #5 Mar 30 2012 18:50:35

%S 0,0,0,0,0,0,0,0,0,0,1,1,2,1,3,1,3,2,0,0,1,0,0,0,0,0,0,0,1,0,1,0,3,0,

%T 1,0,1,0,1,0,0,1,0,0,3,0,0,1,2,0,1,0,2,0,1,0,5,0,1,0,0,0,0,1,0,0,0,0,

%U 3,5,1,1,1,0,3,0,1,1,1,0,0,1,0,0,0,1,0,0,3,0,1,0,2,4,1,0,3,0,2,0,0,1,0,0,1

%N Number of palindromic divisors d of n-th decimal palindrome m, such that 9<d<m.

%e n=116, divisors of A002113(116) = 1771 are

%e {1,7,11,23,77,161,253,1771}, 6 of them are palindromes {1,7,11,77,161,1771}

%e and three are >9 and <1771: {11,77,161}, therefore

%e a(116) = 3 < A083867(116) = 6 < A076888(116) = 8.

%Y Cf. A078337, A083867, A076888, A000005, A002113.

%K nonn,base

%O 1,13

%A _Reinhard Zumkeller_, May 07 2003

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