The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A002288 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A002288

G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.
(history; published version)

#79 by Charles R Greathouse IV at Thu Sep 08 08:44:30 EDT 2022

PROG

(MAGMAMagma) Basis( CuspForms( Gamma0(2), 8), 100) [1]; /* Michael Somos, Dec 09 2013 */

Discussion

Thu Sep 08

08:44

OEIS Server: https://oeis.org/edit/global/2944

#78 by Jon E. Schoenfield at Mon Dec 20 20:29:09 EST 2021

STATUS

editing

approved

#77 by Jon E. Schoenfield at Mon Dec 20 20:29:06 EST 2021

FORMULA

Euler transform of period 2 sequence [ -8, -16, ... ].

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#76 by N. J. A. Sloane at Sun Feb 14 01:36:38 EST 2021

STATUS

editing

approved

#75 by N. J. A. Sloane at Sun Feb 14 01:36:32 EST 2021

REFERENCES

Masao Koike, Modular forms on non-compact arithmetic triangle groups, preprint.

LINKS

Masao Koike, <a href="https://oeis.org/A004016/a004016.pdf">Modular forms on non-compact arithmetic triangle groups</a>, Unpublished manuscript [Extensively annotated with OEIS A-numbers by N. J. A. Sloane, Feb 14 2021. I wrote 2005 on the first page but the internal evidence suggests 1997.]

STATUS

approved

editing

#74 by N. J. A. Sloane at Mon Nov 26 11:47:54 EST 2018

STATUS

editing

approved

#73 by N. J. A. Sloane at Mon Nov 26 11:47:52 EST 2018

COMMENTS

This is Glaisher's thetaTheta(n). - N. J. A. Sloane, Nov 26 2018

STATUS

approved

editing

#72 by N. J. A. Sloane at Mon Nov 26 11:45:43 EST 2018

STATUS

editing

approved

#71 by N. J. A. Sloane at Mon Nov 26 11:45:36 EST 2018

COMMENTS

This is Glaisher's theta(n). - N. J. A. Sloane, Nov 26 2018

LINKS

<a href="/index/Ge#Glaisher">Index entries for sequences mentioned by Glaisher</a>

STATUS

approved

editing

#70 by N. J. A. Sloane at Thu Nov 22 21:50:11 EST 2018

COMMENTS

Number 2 of the 74 eta-quotients listed in Table I of Martin (1996).

Discussion

Thu Nov 22

21:50

OEIS Server: https://oeis.org/edit/global/2773