The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A127786 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A127786

Expansion of phi(q) * phi(q^2) * phi(-q^4) in powers of q where phi() is a Ramanujan theta function.
(history; published version)

#19 by Charles R Greathouse IV at Fri Mar 12 22:24:44 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

#18 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

#17 by N. J. A. Sloane at Wed Nov 29 23:02:43 EST 2017

STATUS

proposed

approved

#16 by G. C. Greubel at Wed Nov 29 21:37:52 EST 2017

STATUS

editing

proposed

#15 by G. C. Greubel at Wed Nov 29 21:37:41 EST 2017

LINKS

G. C. Greubel, <a href="/A127786/b127786.txt">Table of n, a(n) for n = 0..5000</a>

STATUS

approved

editing

#14 by Charles R Greathouse IV at Wed Jun 28 21:29:12 EDT 2017

STATUS

proposed

approved

#13 by Wesley Ivan Hurt at Wed Jun 28 21:25:05 EDT 2017

STATUS

editing

proposed

#12 by Wesley Ivan Hurt at Wed Jun 28 21:24:57 EDT 2017

NAME

Expansion of phi(q) * phi(q^2) * phi(-q^4) in powres powers of q where phi() is a Ramanujan theta function.

STATUS

proposed

editing

#11 by Eric Rowland at Wed Jun 28 20:42:07 EDT 2017

STATUS

editing

proposed

#10 by Eric Rowland at Wed Jun 28 20:41:44 EDT 2017

FORMULA

a(8*n) = A212885(n). a(8*n + 1) = 2 * A213622(n). a(8*n + 2) = 2 * A26495nA246954(n). a(8*n + 3) = 4 * A246832(n). a(8*n + 5) = - 4 * A246837(n). a(8*n + 7) = - 8 * A033763(n). - Michael Somos, Sep 08 2014

STATUS

approved

editing

Discussion

Wed Jun 28

20:42

Eric Rowland: Fixed sequence number