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A319470 Number of partitions of n into exactly five nonzero decimal palindromes. 2
0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 10, 13, 18, 22, 29, 34, 42, 48, 57, 63, 72, 77, 85, 88, 95, 96, 100, 99, 101, 98, 98, 93, 92, 87, 85, 80, 79, 74, 73, 70, 69, 67, 67, 65, 66, 65, 66, 66, 67, 68, 69, 70, 72, 73, 75, 76, 78, 79, 81, 81, 83, 83, 84, 84, 85, 84 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

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

FORMULA

a(n) = [x^n y^5] 1/Product_{j>=2} (1-y*x^A002113(j)).

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))(5):

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

CROSSREFS

Column k=5 of A319453.

Cf. A002113.

Sequence in context: A318155 A282569 A213213 * A115001 A309408 A008766

Adjacent sequences:  A319467 A319468 A319469 * A319471 A319472 A319473

KEYWORD

nonn,base

AUTHOR

Alois P. Heinz, Sep 19 2018

STATUS

approved

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Last modified August 11 18:37 EDT 2020. Contains 336428 sequences. (Running on oeis4.)