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Revision History for A244375 (Underlined text is an addition; strikethrough text is a deletion.)

Showing entries 1-10 | older changes
A244375 Expansion of (a(q) + 3*a(q^2) - 4*a(q^4)) / 6 in powers of q where a() is a cubic AGM theta function.
(history; published version)
#21 by Joerg Arndt at Tue Jan 23 02:20:39 EST 2024
STATUS

reviewed

approved

#20 by Michel Marcus at Tue Jan 23 01:42:11 EST 2024
STATUS

proposed

reviewed

#19 by Amiram Eldar at Tue Jan 23 01:05:27 EST 2024
STATUS

editing

proposed

#18 by Amiram Eldar at Tue Jan 23 00:16:07 EST 2024
LINKS

Michael Somos, <a href="/A010815/a010815.txt">Introduction to Ramanujan theta functions</a>>, 2019.

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RamanujanThetaFunctions.html">Ramanujan Theta Functions</a>>.

FORMULA

Sum_{k=1..n} abs(a(k)) ~ (Pi/sqrt(3)) * n. - Amiram Eldar, Jan 23 2024

CROSSREFS

Cf. A033687, A033762, A093602, A093829, A112298, A122861, A244339.

Cf. A000122, A000700, A004016, A010054, A005882, A005928, A121373.

STATUS

approved

editing

#17 by Charles R Greathouse IV at Thu Sep 08 08:46:08 EDT 2022
PROG

(MAGMAMagma) A := Basis( ModularForms( Gamma1(12), 1), 82); A[2] + 3*A[3] + A[4] - 3*A[5]; /* Michael Somos, Jan 17 2015 */

Discussion
Thu Sep 08 08:46
OEIS Server: https://oeis.org/edit/global/2944
#16 by Charles R Greathouse IV at Fri Mar 12 22:24:47 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
#15 by N. J. A. Sloane at Wed Nov 13 21:58:50 EST 2019
LINKS

M. Somos, <a href="http://somos.crg4.com="/A010815/multiqa010815.htmltxt">Introduction to Ramanujan theta functions</a>

Discussion
Wed Nov 13 21:58
OEIS Server: https://oeis.org/edit/global/2832
#14 by Alois P. Heinz at Sat Sep 23 18:06:47 EDT 2017
STATUS

proposed

approved

#13 by G. C. Greubel at Sat Sep 23 18:03:50 EDT 2017
STATUS

editing

proposed

#12 by G. C. Greubel at Sat Sep 23 18:03:42 EDT 2017
LINKS

G. C. Greubel, <a href="/A244375/b244375.txt">Table of n, a(n) for n = 1..1000</a>

STATUS

approved

editing

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Last modified August 31 00:13 EDT 2024. Contains 375550 sequences. (Running on oeis4.)