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A278428 Series reversion of g.f. (1/2)*x*(-1; -x)_inf, where (a; q)_inf is the q-Pochhammer symbol. 6
1, 1, 1, 2, 6, 17, 46, 128, 373, 1119, 3405, 10464, 32478, 101781, 321642, 1023512, 3276326, 10543100, 34088806, 110690682, 360810160, 1180195810, 3872588051, 12743937024, 42049240694, 139082885503, 461072582522, 1531697761470, 5098246648103, 17000237006441 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

(1/2)*x*(-1; -x)_inf is the g.f. for A081360 shifted right.

LINKS

Vaclav Kotesovec, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, q-Pochhammer Symbol.

FORMULA

a(n) ~ c * d^n / n^(3/2), where c = 0.1211369424750398272226454930396... and d = A318204 = 3.509754327949703340437273523375193698454789733931739911... - Vaclav Kotesovec, Nov 23 2016

MATHEMATICA

InverseSeries[x QPochhammer[-1, -x]/2 + O[x]^35][[3]]

CROSSREFS

Cf. A081360, A109085, A171805, A181315, A255526.

Sequence in context: A190050 A005592 A102403 * A200379 A032638 A292229

Adjacent sequences:  A278425 A278426 A278427 * A278429 A278430 A278431

KEYWORD

nonn

AUTHOR

Vladimir Reshetnikov, Nov 21 2016

STATUS

approved

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Last modified July 15 14:33 EDT 2019. Contains 325031 sequences. (Running on oeis4.)