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Revision History for A293132 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A293132 G.f.: 2*q * Product_{n>=1} (1 + q^(2*n))/((1 + q^n)*(1 + q^(2*n-1))*(1 + q^(4*n))) in powers of q.
(history; published version)
#15 by Vaclav Kotesovec at Tue Oct 24 02:28:53 EDT 2017
STATUS

editing

approved

#14 by Vaclav Kotesovec at Tue Oct 24 02:28:48 EDT 2017
CROSSREFS

Cf. A292929, A294065, A294066, , A294067.

STATUS

approved

editing

#13 by Vaclav Kotesovec at Mon Oct 23 17:31:03 EDT 2017
STATUS

editing

approved

#12 by Vaclav Kotesovec at Mon Oct 23 17:30:48 EDT 2017
MATHEMATICA

nmax = 50; CoefficientList[Series[2*Product[(1 + x^(2*k)) / (([1 + x^k) * (/((1 + x^(2*k-1)) * ())^2 * (1 + x^(4*k))), {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Oct 23 2017 *)

STATUS

approved

editing

Discussion
Mon Oct 23 17:31
Vaclav Kotesovec: Simplified
#11 by Paul D. Hanna at Mon Oct 23 12:24:58 EDT 2017
STATUS

editing

approved

#10 by Paul D. Hanna at Mon Oct 23 12:24:56 EDT 2017
CROSSREFS

Cf. A292929, A294065, A294066, A294067.

STATUS

approved

editing

#9 by Vaclav Kotesovec at Mon Oct 23 04:12:09 EDT 2017
STATUS

editing

approved

#8 by Vaclav Kotesovec at Mon Oct 23 04:12:03 EDT 2017
LINKS

Vaclav Kotesovec, <a href="/A293132/b293132.txt">Table of n, a(n) for n = 1..2000</a>

STATUS

approved

editing

#7 by Vaclav Kotesovec at Mon Oct 23 04:10:31 EDT 2017
STATUS

editing

approved

#6 by Vaclav Kotesovec at Mon Oct 23 04:01:38 EDT 2017
FORMULA

a(n) ~ (-) ~ -(-1)^n * 7^(1/4) * exp(sqrt(7*n/3)*Pi/2) / (2^(3/2) * 3^(1/4) * n^(3/4)). - Vaclav Kotesovec, Oct 23 2017

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Last modified August 29 22:07 EDT 2024. Contains 375518 sequences. (Running on oeis4.)