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A306732 Expansion of Sum_{k>=0} x^(k*(k+1)/2) * Product_{j=1..k} (1 + j*x^j). 0
1, 1, 1, 1, 1, 2, 3, 1, 2, 5, 4, 7, 8, 5, 7, 11, 15, 22, 17, 31, 39, 20, 31, 39, 64, 81, 85, 125, 97, 170, 211, 121, 167, 229, 265, 385, 531, 548, 573, 814, 686, 1150, 1339, 860, 1131, 1344, 1888, 2109, 2780, 3656, 4127, 4294, 4498, 6320, 5568, 8747, 10260, 6856, 8673, 10580 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..59.

MATHEMATICA

nmax = 59; CoefficientList[Series[Sum[x^(k (k + 1)/2) Product[(1 + j x^j), {j, 1, k}], {k, 0, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A053261, A204856, A306704.

Sequence in context: A050981 A053452 A023986 * A109202 A245559 A117488

Adjacent sequences:  A306729 A306730 A306731 * A306733 A306734 A306735

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, Mar 06 2019

STATUS

approved

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Last modified October 2 20:53 EDT 2022. Contains 357230 sequences. (Running on oeis4.)