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A341226
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Expansion of (-1 + Product_{k>=1} 1 / (1 - x^k))^7.
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11
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1, 14, 105, 567, 2478, 9317, 31269, 95965, 273896, 735966, 1879059, 4591342, 10797290, 24549924, 54171729, 116368308, 243991034, 500446135, 1006039762, 1985480063, 3852429483, 7358212272, 13850448185, 25718189483, 47150564517, 85417834621, 153015826880
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OFFSET
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7,2
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 7..10000
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MAPLE
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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, 7):
seq(a(n), n=7..33); # Alois P. Heinz, Feb 07 2021
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MATHEMATICA
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nmax = 33; CoefficientList[Series[(-1 + Product[1/(1 - x^k), {k, 1, nmax}])^7, {x, 0, nmax}], x] // Drop[#, 7] &
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CROSSREFS
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Column k=7 of A060642.
Cf. A000041, A023006, A048574, A327385, A341221, A341222, A341223, A341225, A341227, A341228.
Sequence in context: A008506 A010966 A290895 * A022579 A061179 A285752
Adjacent sequences: A341223 A341224 A341225 * A341227 A341228 A341229
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KEYWORD
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nonn
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AUTHOR
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Ilya Gutkovskiy, Feb 07 2021
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STATUS
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approved
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