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A341228
Expansion of (-1 + Product_{k>=1} 1 / (1 - x^k))^9.
11
1, 18, 171, 1149, 6147, 27891, 111567, 403722, 1345896, 4189334, 12300174, 34337403, 91721385, 235645425, 584759880, 1406588073, 3289489002, 7498465029, 16697615817, 36391839264, 77758115283, 163123713621, 336420277812, 682877289213, 1365674365197, 2693384989056
OFFSET
9,2
LINKS
MAPLE
b:= proc(n, k) option remember; `if`(k<2, `if`(n=0, 1-k, combinat[
numbpart](n)), (q-> add(b(j, q)*b(n-j, k-q), j=0..n))(iquo(k, 2)))
end:
a:= n-> b(n, 9):
seq(a(n), n=9..34); # Alois P. Heinz, Feb 07 2021
MATHEMATICA
nmax = 34; CoefficientList[Series[(-1 + Product[1/(1 - x^k), {k, 1, nmax}])^9, {x, 0, nmax}], x] // Drop[#, 9] &
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Feb 07 2021
STATUS
approved