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Revision History for A098613

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Expansion of psi(x^2) / f(-x) in powers of x where psi(), f() are Ramanujan theta functions.
(history; published version)
#32 by Charles R Greathouse IV at Fri Mar 12 22:24:43 EST 2021
LINKS

M. Michael Somos, <a href="/A010815/a010815.txt">Introduction to Ramanujan theta functions</a>

Discussion
Fri Mar 12
22:24
OEIS Server: https://oeis.org/edit/global/2897
#31 by Michael Somos at Sun Dec 01 18:26:41 EST 2019
STATUS

editing

approved

#30 by Michael Somos at Sun Dec 01 18:25:53 EST 2019
COMMENTS

a(n) is the number of partitions of n in which each odd part can occur any number of times but each even part is of two kinds and each kind can occur at most twiceonce. - Michael Somos, Dec 01 2019

STATUS

approved

editing

Discussion
Sun Dec 01
18:26
Michael Somos: Corrected my comment.
#29 by Michael Somos at Sun Dec 01 18:18:47 EST 2019
STATUS

editing

approved

#28 by Michael Somos at Sun Dec 01 18:18:30 EST 2019
COMMENTS

a(n) is the number of partitions of n in which each odd part can occur any number of times but each even part can occur at most twice. - Michael Somos, Dec 01 2019

FORMULA

Euler transform of period 4 sequence [ 1, 2, 1, 0, ...].

G.f.: Product_{k>=1} (1 + x^(2*k))^2 / (1 - x^(2*k-1)). - Michael Somos, Dec 01 2019

STATUS

approved

editing

Discussion
Sun Dec 01
18:18
Michael Somos: Added more info. Space edit.
#27 by N. J. A. Sloane at Wed Nov 13 21:58:47 EST 2019
LINKS

M. Somos, <a href="http://somos.crg4.comA010815/multiqa010815.htmltxt">Introduction to Ramanujan theta functions</a>

Discussion
Wed Nov 13
21:58
OEIS Server: https://oeis.org/edit/global/2832
#26 by OEIS Server at Tue Nov 28 00:36:33 EST 2017
LINKS

G. C. Greubel, <a href="/A098613/b098613_1.txt">Table of n, a(n) for n = 0..1000</a>

#25 by Michel Marcus at Tue Nov 28 00:36:33 EST 2017
STATUS

reviewed

approved

Discussion
Tue Nov 28
00:36
OEIS Server: Installed new b-file as b098613.txt.  Old b-file is now b098613_1.txt.
#24 by Wesley Ivan Hurt at Mon Nov 27 23:46:09 EST 2017
STATUS

proposed

reviewed

#23 by G. C. Greubel at Mon Nov 27 22:22:39 EST 2017
STATUS

editing

proposed