The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A109368

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A109368

Number of partitions of n into parts relatively prime to 42.
(history; published version)

#19 by Charles R Greathouse IV at Fri Mar 12 22:24:43 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 22:00:12 EST 2019

LINKS

M. Somos, <a href="http://somos.crg4.comA010815/multiqa010815.pdftxt">Introduction to Ramanujan theta functions</a>

Discussion

Wed Nov 13

22:00

OEIS Server: https://oeis.org/edit/global/2833

#17 by Vaclav Kotesovec at Thu Apr 19 03:58:29 EDT 2018

STATUS

proposed

approved

#16 by Michel Marcus at Thu Apr 19 02:02:18 EDT 2018

STATUS

editing

proposed

#15 by Michel Marcus at Thu Apr 19 02:02:14 EDT 2018

LINKS

M. Somos, <a href="http://cis.csuohio.edu/~somos.crg4.com/multiq.pdf">Introduction to Ramanujan theta functions</a>

STATUS

proposed

editing

#14 by G. C. Greubel at Wed Apr 18 23:15:35 EDT 2018

STATUS

editing

proposed

#13 by G. C. Greubel at Wed Apr 18 23:15:29 EDT 2018

LINKS

G. C. Greubel, <a href="/A109368/b109368.txt">Table of n, a(n) for n = 0..1000</a>

MATHEMATICA

eta[q_]:= q^(1/24)*QPochhammer[q]; CoefficientList[Series[q^(-1/2)* eta[q^2]* eta[q^3]*eta[q^7]*eta[q^42]/(eta[q]*eta[q^6]*eta[q^14] *eta[q^21]), {q, 0, 50}], q] (* G. C. Greubel, Apr 18 2018 *)

STATUS

approved

editing

#12 by Jon E. Schoenfield at Mon Oct 02 03:36:55 EDT 2017

STATUS

editing

approved

#11 by Jon E. Schoenfield at Mon Oct 02 03:36:52 EDT 2017

FORMULA

G.f. is a period 1 Fourier series which satisfies f(-1 / (168 t)) = 1 / f(t) where q = exp(2 pi Pi i t).

STATUS

approved

editing

#10 by Charles R Greathouse IV at Wed Apr 30 01:35:41 EDT 2014

AUTHOR

_Michael Somos, _, Jun 26 2005, Jan 12 2009

Discussion

Wed Apr 30

01:35

OEIS Server: https://oeis.org/edit/global/2179