The On-Line Encyclopedia of Integer Sequences (OEIS)

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A022713

Expansion of Product_{m>=1} (1+m*q^m)^-21.
(history; published version)

#9 by Alois P. Heinz at Fri Jul 20 06:02:49 EDT 2018

STATUS

reviewed

approved

#8 by Michel Marcus at Fri Jul 20 04:26:25 EDT 2018

STATUS

proposed

reviewed

#7 by G. C. Greubel at Fri Jul 20 00:38:03 EDT 2018

STATUS

editing

proposed

#6 by G. C. Greubel at Fri Jul 20 00:37:58 EDT 2018

NAME

Expansion of Product _{m>=1} (1+m*q^m)^-21; m=1..inf.

LINKS

G. C. Greubel, <a href="/A022713/b022713.txt">Table of n, a(n) for n = 0..1000</a>

MATHEMATICA

With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-21, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 20 2018 *)

PROG

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+n*q^n)^-21)) \\ G. C. Greubel, Jul 20 2018

AUTHOR

N. J. A. Sloane.

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 16:46:53 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com)_.

Discussion

Fri Mar 30

16:46

OEIS Server: https://oeis.org/edit/global/110

#4 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

sign,new

sign

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

#3 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003

KEYWORD

sign,done,new

sign

#2 by N. J. A. Sloane at Sat Dec 11 03:00:00 EST 1999

NAME

Expansion of PRODUCT Product (1+m*q^m)^-21; m=1..inf}.

KEYWORD

sign,done,new

#1 by N. J. A. Sloane at Sun Jun 14 03:00:00 EDT 1998

NAME

Expansion of PRODUCT (1+m*q^m)^-21; m=1..inf}.

DATA

1, -21, 189, -952, 3087, -8400, 27503, -92907, 246981, -588490, 1649823, -4645179, 10989769, -25476717, 65615424, -161705810, 363998754, -834169539, 1973130271, -4510112565, 9969930495, -22054706773

OFFSET

0,2

REFERENCES

KEYWORD

sign,done

AUTHOR

njas

STATUS

approved