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A319472 Number of partitions of n into exactly seven nonzero decimal palindromes. 2
0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 7, 11, 15, 21, 27, 37, 46, 60, 73, 91, 108, 131, 151, 178, 201, 231, 256, 287, 311, 342, 365, 393, 412, 437, 450, 470, 479, 493, 496, 505, 503, 508, 503, 504, 496, 496, 487, 487, 479, 478, 472, 473, 469, 472, 471, 476, 477 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

LINKS

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

FORMULA

a(n) = [x^n y^7] 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))(7):

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

CROSSREFS

Column k=7 of A319453.

Cf. A002113.

Sequence in context: A260164 A280938 A049756 * A218507 A026813 A008636

Adjacent sequences:  A319469 A319470 A319471 * A319473 A319474 A319475

KEYWORD

nonn,base,look

AUTHOR

Alois P. Heinz, Sep 19 2018

STATUS

approved

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Last modified March 26 04:32 EDT 2019. Contains 321481 sequences. (Running on oeis4.)