The On-Line Encyclopedia of Integer Sequences (OEIS)

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A208856

Partitions of n into parts not congruent to 0, +-4, +-6, +-10, 16 (mod 32).
(history; published version)

#29 by Charles R Greathouse IV at Sun Feb 16 08:33:16 EST 2025

LINKS

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

Discussion

Sun Feb 16

08:33

OEIS Server: https://oeis.org/edit/global/3014

#28 by Charles R Greathouse IV at Fri Mar 12 22:24:46 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

#27 by N. J. A. Sloane at Wed Nov 13 21:54:14 EST 2019

LINKS

M. Somos, <a href="http://cis.csuohio.edu/~somosA010815/multiqa010815.pdftxt">Introduction to Ramanujan theta functions</a>

Discussion

Wed Nov 13

21:54

OEIS Server: https://oeis.org/edit/global/2830

#26 by Bruno Berselli at Tue Jun 20 07:10:08 EDT 2017

STATUS

reviewed

approved

#25 by Joerg Arndt at Tue Jun 20 06:25:14 EDT 2017

STATUS

proposed

reviewed

#24 by Michel Marcus at Mon Jun 19 23:52:26 EDT 2017

STATUS

editing

proposed

#23 by Michel Marcus at Mon Jun 19 23:52:22 EDT 2017

REFERENCES

G. E. Andrews, Unsolved Problems: Further Problems on Partitions, Amer. Math. Monthly 94 (1987), no. 5, 437-439.

LINKS

G. E. Andrews, <a href="http://www.jstor.org/stable/2322727">Unsolved Problems: Further Problems on Partitions</a>, Amer. Math. Monthly 94 (1987), no. 5, 437-439.

STATUS

proposed

editing

#22 by Wesley Ivan Hurt at Mon Jun 19 20:52:49 EDT 2017

STATUS

editing

proposed

#21 by Wesley Ivan Hurt at Mon Jun 19 20:52:13 EDT 2017

FORMULA

Expansion of (f(x) / f(-x) - 1) / (2 * x) in powers of x where f() is a Ramanujan theta function.

Expansion of (f(x^14, x^34) - x^4 * f(x^2, x^46)) / f(-x, -x^2) in powers of x where f() is Ramanujan's two-variable theta function.

STATUS

proposed

editing

#20 by G. C. Greubel at Mon Jun 19 20:48:44 EDT 2017

STATUS

editing

proposed