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A341226 Expansion of (-1 + Product_{k>=1} 1 / (1 - x^k))^7. 11
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..10000

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, 7):

seq(a(n), n=7..33);  # Alois P. Heinz, Feb 07 2021

MATHEMATICA

nmax = 33; CoefficientList[Series[(-1 + Product[1/(1 - x^k), {k, 1, nmax}])^7, {x, 0, nmax}], x] // Drop[#, 7] &

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Feb 07 2021

STATUS

approved

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Last modified July 4 16:26 EDT 2022. Contains 355081 sequences. (Running on oeis4.)