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

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, 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, 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

Offset

1,13

Links

Table of n, a(n) for n=1..105.

Example

n=116, divisors of A002113(116) = 1771 are
{1,7,11,23,77,161,253,1771}, 6 of them are palindromes {1,7,11,77,161,1771}
and three are >9 and <1771: {11,77,161}, therefore
a(116) = 3 < A083867(116) = 6 < A076888(116) = 8.

Crossrefs

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

Sequence in context: A187497 A325704 A104984 * A128199 A345063 A337216

Adjacent sequences: A083865 A083866 A083867 * A083869 A083870 A083871

Keyword

nonn,base

Author

Reinhard Zumkeller, May 07 2003

Status

approved