The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A027998

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A027998

Expansion of Product_{m>=1} (1+q^m)^(m^2).
(history; published version)

#48 by Charles R Greathouse IV at Thu Sep 08 08:44:50 EDT 2022

PROG

(MAGMAMagma) m:=50; R<x>:=PowerSeriesRing(Rationals(), m); Coefficients(R! ( (&*[(1+x^k)^k^2: k in [1..m]]) )); // G. C. Greubel, Oct 31 2018

Discussion

Thu Sep 08

08:44

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

#47 by Bruno Berselli at Wed Oct 31 03:42:38 EDT 2018

STATUS

reviewed

approved

#46 by Michel Marcus at Wed Oct 31 03:13:13 EDT 2018

STATUS

proposed

reviewed

#45 by G. C. Greubel at Wed Oct 31 03:11:27 EDT 2018

STATUS

editing

proposed

#44 by G. C. Greubel at Wed Oct 31 03:11:21 EDT 2018

PROG

(MAGMA) m:=50; R<x>:=PowerSeriesRing(Rationals(), m); Coefficients(R! ( (&*[(1+x^k)^k^2: k in [1..(m+2)]]) )); // G. C. Greubel, Oct 31 2018

STATUS

proposed

editing

#43 by G. C. Greubel at Wed Oct 31 02:44:53 EDT 2018

STATUS

editing

proposed

Discussion

Wed Oct 31

02:54

Michel Marcus: here too

#42 by G. C. Greubel at Wed Oct 31 02:44:46 EDT 2018

PROG

(MAGMA) m:=50; R<x>:=PowerSeriesRing(Rationals(), m); Coefficients(R! ( (&*[(1+x^k)^k^2: k in [1..(m+2)]]) )); // G. C. Greubel, Oct 31 2018

STATUS

approved

editing

#41 by Susanna Cuyler at Wed May 30 13:57:04 EDT 2018

STATUS

proposed

approved

#40 by Ilya Gutkovskiy at Wed May 30 13:18:43 EDT 2018

STATUS

editing

proposed

#39 by Ilya Gutkovskiy at Wed May 30 12:21:54 EDT 2018

FORMULA

G.f.: exp(Sum_{k>=1} (-1)^(k+1)*x^k*(1 + x^k)/(k*(1 - x^k)^3)). - Ilya Gutkovskiy, May 30 2018

STATUS

approved

editing