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A319474 Number of partitions of n into exactly nine nonzero decimal palindromes. 2
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 11, 15, 22, 29, 40, 51, 68, 85, 109, 134, 167, 200, 244, 286, 341, 395, 460, 523, 600, 671, 756, 835, 926, 1008, 1103, 1185, 1280, 1360, 1450, 1524, 1609, 1673, 1748, 1803, 1867, 1910, 1965, 1996, 2039, 2063, 2096 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,12

LINKS

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

FORMULA

a(n) = [x^n y^9] 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))(9):

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

CROSSREFS

Column k=9 of A319453.

Cf. A002113.

Sequence in context: A319473 A085894 A309194 * A218508 A026814 A008637

Adjacent sequences:  A319471 A319472 A319473 * A319475 A319476 A319477

KEYWORD

nonn,base

AUTHOR

Alois P. Heinz, Sep 19 2018

STATUS

approved

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Last modified November 13 10:29 EST 2019. Contains 329093 sequences. (Running on oeis4.)