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A319468 Number of partitions of n into exactly two nonzero decimal palindromes. 3
0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 4, 5, 4, 4, 3, 3, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..10000

FORMULA

a(n) = [x^n y^2] 1/Product_{j>=2} (1-y*x^A002113(j)).

a(n) = 0 <=> n in { A319477 }.

MAPLE

p:= proc(n) option remember; local i, s; s:= ""||n;

      for i to iquo(length(s), 2) do if

        s[i]<>s[-i] then return false fi od; true

    end:

h:= proc(n) option remember; `if`(n<1, 0,

     `if`(p(n), n, h(n-1)))

    end:

b:= proc(n, i, t) option remember; `if`(n=0, 1, `if`(t*i<n,

      0, b(n, h(i-1), t)+b(n-i, h(min(n-i, i)), t-1)))

    end:

a:= n-> (k-> b(n, h(n), k)-b(n, h(n), k-1))(2):

seq(a(n), n=0..100);

CROSSREFS

Column k=2 of A319453.

Cf. A002113, A319477.

Sequence in context: A187446 A240020 A167232 * A137791 A096125 A140828

Adjacent sequences:  A319465 A319466 A319467 * A319469 A319470 A319471

KEYWORD

nonn,look,base

AUTHOR

Alois P. Heinz, Sep 19 2018

STATUS

approved

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Last modified August 9 05:12 EDT 2020. Contains 336319 sequences. (Running on oeis4.)