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A292613 a(n) = [x^n] 1/(1-x)^n * Product_{k=1..n} 1/(1-x^k). 4
1, 2, 7, 25, 92, 343, 1292, 4902, 18703, 71677, 275694, 1063636, 4114131, 15948762, 61946290, 241013869, 939125870, 3664299332, 14314777054, 55982787136, 219158088711, 858728875776, 3367576480747, 13216392846128, 51905939548950, 203989227456894, 802164259099114 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 0..300

FORMULA

a(n) ~ c * 4^n / sqrt(Pi*n), where c = 1/(2*QPochhammer[1/2, 1/2]) = 1.7313733097275318057689... - Vaclav Kotesovec, Sep 20 2017

MATHEMATICA

Table[SeriesCoefficient[1/(1-x)^n*Product[1/(1-x^k), {k, 1, n}], {x, 0, n}], {n, 0, 30}]

CROSSREFS

Cf. A000041, A001700, A014329, A292463.

Sequence in context: A024482 A097613 A074605 * A108081 A270785 A199247

Adjacent sequences:  A292610 A292611 A292612 * A292614 A292615 A292616

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Sep 20 2017

STATUS

approved

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Last modified January 18 06:34 EST 2019. Contains 319269 sequences. (Running on oeis4.)