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A319469 Number of partitions of n into exactly four nonzero decimal palindromes. 2
0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 9, 11, 15, 17, 22, 24, 29, 31, 35, 36, 40, 39, 41, 39, 40, 37, 37, 33, 33, 29, 28, 25, 25, 22, 22, 21, 21, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

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

FORMULA

a(n) = [x^n y^4] 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))(4):

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

CROSSREFS

Column k=4 of A319453.

Cf. A002113.

Sequence in context: A123399 A239010 A104738 * A028309 A242717 A026810

Adjacent sequences:  A319466 A319467 A319468 * A319470 A319471 A319472

KEYWORD

nonn,base,look

AUTHOR

Alois P. Heinz, Sep 19 2018

STATUS

approved

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Last modified January 18 06:34 EST 2019. Contains 319269 sequences. (Running on oeis4.)