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A319471 Number of partitions of n into exactly six nonzero decimal palindromes. 2
0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 11, 14, 20, 25, 34, 41, 53, 62, 76, 88, 104, 116, 134, 145, 163, 174, 189, 197, 211, 215, 225, 226, 232, 229, 233, 227, 228, 221, 219, 212, 211, 203, 201, 195, 194, 189, 190, 186, 187, 186, 188, 188, 192, 192, 197, 199, 204 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

LINKS

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

FORMULA

a(n) = [x^n y^6] 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))(6):

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

CROSSREFS

Column k=6 of A319453.

Cf. A002113.

Sequence in context: A309097 A309098 A136185 * A218506 A238659 A234666

Adjacent sequences:  A319468 A319469 A319470 * A319472 A319473 A319474

KEYWORD

nonn,base

AUTHOR

Alois P. Heinz, Sep 19 2018

STATUS

approved

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Last modified August 5 21:18 EDT 2020. Contains 336213 sequences. (Running on oeis4.)