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A319471
Number of partitions of n into exactly six nonzero decimal palindromes.
4
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
OFFSET
0,9
LINKS
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 A341870
KEYWORD
nonn,base
AUTHOR
Alois P. Heinz, Sep 19 2018
STATUS
approved