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Revision History for A293387

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A293387

Expansion of (eta(q^2)^2/(eta(q)eta(q^3)))^2 in powers of q.
(history; published version)

#14 by Vaclav Kotesovec at Sun Oct 08 03:28:53 EDT 2017

STATUS

proposed

approved

#13 by Seiichi Manyama at Sun Oct 08 03:03:13 EDT 2017

STATUS

editing

proposed

#12 by Seiichi Manyama at Sun Oct 08 03:03:07 EDT 2017

LINKS

Seiichi Manyama, <a href="/A293387/b293387.txt">Table of n, a(n) for n = 0..10000</a>

STATUS

approved

editing

#11 by Vaclav Kotesovec at Sun Oct 08 02:55:27 EDT 2017

STATUS

editing

approved

#10 by Vaclav Kotesovec at Sun Oct 08 02:53:02 EDT 2017

MATHEMATICA

nmax = 100; CoefficientList[Series[Product[((1 - x^(2*k))^2/((1 - x^k)*(1 - x^(3*k))))^2, {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Oct 08 2017 *)

STATUS

proposed

editing

#9 by Seiichi Manyama at Sat Oct 07 23:27:52 EDT 2017

STATUS

editing

proposed

#8 by Seiichi Manyama at Sat Oct 07 23:27:47 EDT 2017

CROSSREFS

Cf. A262930, A292577.

STATUS

proposed

editing

#7 by Seiichi Manyama at Sat Oct 07 23:14:07 EDT 2017

STATUS

editing

proposed

#6 by Seiichi Manyama at Sat Oct 07 23:13:42 EDT 2017

FORMULA

G.f.: Product_{k>0} ((1 - x^(2*k))^2/((1 - x^k)*(1 - x^(23*k))))^2.

#5 by Seiichi Manyama at Sat Oct 07 23:13:11 EDT 2017

FORMULA

G.f.: Product_{k>0} ((1 - x^(2*k))^2 / ((1 - x^k)*(1 - x^(2*k))))^2.