The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A260945 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A260945

Expansion of (2*b(q^4) - b(q) - b(q^2)) / 3 in powers of q where b() is a cubic AGM theta function.
(history; published version)

#20 by Joerg Arndt at Tue Jan 23 02:20:44 EST 2024

STATUS

reviewed

approved

#19 by Michel Marcus at Tue Jan 23 01:44:40 EST 2024

STATUS

proposed

reviewed

#18 by Amiram Eldar at Tue Jan 23 01:05:28 EST 2024

STATUS

editing

proposed

#17 by Amiram Eldar at Tue Jan 23 00:08:30 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>.

#16 by Amiram Eldar at Tue Jan 23 00:08:00 EST 2024

FORMULA

Sum_{k=1..n} abs(a(k)) ~ c * n, where c = 2*Pi/(3*sqrt(3)) = 1.209199... (A248897). - Amiram Eldar, Jan 23 2024

CROSSREFS

Cf. A033687, A033762, A097195, A093829, A112848, A113447, A123530, A123863, A227696, A246838 , A248897, A253243, A260941, A260942, A260943, A260944.

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

STATUS

approved

editing

#15 by Charles R Greathouse IV at Thu Sep 08 08:46:13 EDT 2022

PROG

(MAGMAMagma) A := Basis( ModularForms( Gamma1(36), 1), 80); A[2] + A[3] - 2*A[4] - A[5] - 2*A[7] + 2*A[8] + A[9] - 2*A[10] + 2*A[13] + 2*A[14] + 2*A[15] - A[17] - 2*A[19] - 4*A[20];

Discussion

Thu Sep 08

08:46

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

#14 by Charles R Greathouse IV at Fri Mar 12 22:24:48 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

#13 by Michael Somos at Tue Nov 26 22:41:26 EST 2019

STATUS

editing

approved

#12 by Michael Somos at Tue Nov 26 22:41:14 EST 2019

PROG

(MAGMA) A := Basis( ModularFOrmsModularForms( Gamma1(36), 1), 80); A[2] + A[3] - 2*A[4] - A[5] - 2*A[7] + 2*A[8] + A[9] - 2*A[10] + 2*A[13] + 2*A[14] + 2*A[15] - A[17] - 2*A[19] - 4*A[20];

STATUS

approved

editing

Discussion

Tue Nov 26

22:41

Michael Somos: Fixed my typo.

#11 by N. J. A. Sloane at Wed Nov 13 21:58:50 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