The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A301550 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A301550

Expansion of Product_{k>=1} (1 + x^k)^(sigma_6(k)).
(history; published version)

#12 by Vaclav Kotesovec at Fri Oct 26 16:53:54 EDT 2018

STATUS

proposed

approved

#11 by Ilya Gutkovskiy at Fri Oct 26 15:11:55 EDT 2018

STATUS

editing

proposed

#10 by Ilya Gutkovskiy at Fri Oct 26 15:10:36 EDT 2018

FORMULA

G.f.: exp(Sum_{k>=1} sigma_7(k)*x^k/(k*(1 - x^(2*k)))). - Ilya Gutkovskiy, Oct 26 2018

STATUS

approved

editing

#9 by Vaclav Kotesovec at Tue Mar 27 07:42:41 EDT 2018

STATUS

proposed

approved

#8 by Seiichi Manyama at Tue Mar 27 06:28:00 EDT 2018

STATUS

editing

proposed

#7 by Seiichi Manyama at Tue Mar 27 06:27:56 EDT 2018

LINKS

Seiichi Manyama, <a href="/A301550/b301550.txt">Table of n, a(n) for n = 0..1000</a>

#6 by Seiichi Manyama at Tue Mar 27 06:25:51 EDT 2018

CROSSREFS

Cf. A013954, A107742, A301544.

STATUS

approved

editing

#5 by Vaclav Kotesovec at Fri Mar 23 19:56:14 EDT 2018

STATUS

editing

approved

#4 by Vaclav Kotesovec at Fri Mar 23 13:51:36 EDT 2018

CROSSREFS

Cf. A013954, A301544.

#3 by Vaclav Kotesovec at Fri Mar 23 12:50:40 EDT 2018

FORMULA

a(n) ~ exp(2^(5/2) * Pi * (127*Zeta(7)/15)^(1/8) * n^(7/8)/7 - Pi * (5/(127*Zeta(7)))^(1/8) * n^(1/8) / (504 * sqrt(2) * 3^(7/8))) * (127*Zeta(7)/15)^(1/16) / (2^(9/4) * n^(9/16)).