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A319475 Number of partitions of n into exactly ten nonzero decimal palindromes. 2
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 11, 15, 22, 29, 41, 52, 70, 88, 114, 141, 178, 215, 265, 315, 380, 445, 526, 606, 705, 801, 916, 1027, 1159, 1282, 1427, 1561, 1715, 1855, 2015, 2157, 2318, 2458, 2614, 2747, 2897, 3018, 3157, 3266, 3390, 3485 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,13

LINKS

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

FORMULA

a(n) = [x^n y^10] 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))(10):

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

CROSSREFS

Column k=10 of A319453.

Cf. A002113.

Sequence in context: A008631 A238866 A035978 * A319454 A023029 A035987

Adjacent sequences:  A319472 A319473 A319474 * A319476 A319477 A319478

KEYWORD

nonn,base

AUTHOR

Alois P. Heinz, Sep 19 2018

STATUS

approved

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Last modified September 28 05:28 EDT 2020. Contains 337392 sequences. (Running on oeis4.)