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A319473 Number of partitions of n into exactly eight nonzero decimal palindromes. 2
0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 11, 15, 22, 28, 39, 49, 65, 80, 102, 123, 152, 179, 215, 248, 292, 331, 380, 423, 477, 522, 578, 623, 679, 721, 773, 811, 859, 889, 929, 953, 985, 1000, 1025, 1032, 1050, 1051, 1063, 1060, 1068, 1062, 1068, 1062, 1068 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

LINKS

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

FORMULA

a(n) = [x^n y^8] 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))(8):

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

CROSSREFS

Column k=8 of A319453.

Cf. A002113.

Sequence in context: A307547 A182804 A242695 * A085894 A309194 A330640

Adjacent sequences:  A319470 A319471 A319472 * A319474 A319475 A319476

KEYWORD

nonn,base

AUTHOR

Alois P. Heinz, Sep 19 2018

STATUS

approved

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Last modified September 29 18:27 EDT 2020. Contains 337432 sequences. (Running on oeis4.)