The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A278428 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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.
(history; published version)

#15 by Vaclav Kotesovec at Tue Oct 03 03:07:18 EDT 2023

STATUS

editing

approved

#14 by Vaclav Kotesovec at Tue Oct 03 03:06:34 EDT 2023

MATHEMATICA

(* Calculation of constant c: *) 1/Sqrt[(4/s^2 - s*Derivative[0, 2][QPochhammer][-1, -s]/r) * Pi] /. FindRoot[{2*r == s*QPochhammer[-1, -s], 2*r == s^2*Derivative[0, 1][QPochhammer][-1, -s]}, {r, 1/3}, {s, 1/2}, WorkingPrecision -> 120] (* Vaclav Kotesovec, Oct 03 2023 *)

STATUS

approved

editing

#13 by Vaclav Kotesovec at Tue Aug 21 10:53:04 EDT 2018

STATUS

editing

approved

#12 by Vaclav Kotesovec at Tue Aug 21 10:52:40 EDT 2018

FORMULA

a(n) ~ c * d^n / n^(3/2), where c = 0.1211369424750398272226454930396... and d = A318204 = 3.509754327949703340437273523375193698454789733931739911... (see A255526). - Vaclav Kotesovec, Nov 23 2016

STATUS

approved

editing

#11 by Vaclav Kotesovec at Wed Nov 23 05:04:19 EST 2016

STATUS

editing

approved

#10 by Vaclav Kotesovec at Wed Nov 23 05:02:51 EST 2016

FORMULA

a(n) ~ c * d^n / n^(3/2), where c = 0.1211369424750398272226454930396... and d = 3.509754327949703340437273523375193698454789733931739911... (see A255526). - Vaclav Kotesovec, Nov 23 2016

#9 by Vaclav Kotesovec at Wed Nov 23 04:56:07 EST 2016

LINKS

Vaclav Kotesovec, <a href="/A278428/b278428.txt">Table of n, a(n) for n = 1..1000</a>

#8 by Vaclav Kotesovec at Wed Nov 23 04:25:22 EST 2016

CROSSREFS

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

STATUS

reviewed

editing

#7 by G. C. Greubel at Wed Nov 23 02:00:59 EST 2016

STATUS

proposed

reviewed

#6 by Vladimir Reshetnikov at Mon Nov 21 20:55:06 EST 2016

STATUS

editing

proposed