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Revision History for A282932 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Expansion of Product_{k>=1} (1 - x^(7*k))^56/(1 - x^k)^57 in powers of x.
(history; published version)
#34 by Charles R Greathouse IV at Thu Sep 08 08:46:18 EDT 2022
PROG

(MAGMAMagma) m:=30; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!( (&*[(1 - x^(7*j))^56/(1 - x^j)^57: j in [1..m+2]]) )); // G. C. Greubel, Nov 18 2018

Discussion
Thu Sep 08
08:46
OEIS Server: https://oeis.org/edit/global/2944
#33 by Peter Luschny at Mon Mar 16 09:33:34 EDT 2020
STATUS

proposed

approved

#32 by Joerg Arndt at Mon Mar 16 08:53:46 EDT 2020
STATUS

editing

proposed

#31 by Joerg Arndt at Mon Mar 16 08:53:37 EDT 2020
PROG

(PARI) my(N=30, x='x+O('x^30N)); Vec(prod(j=1, 30, N, (1 - x^(7*j))^56/(1 - x^j)^57)) \\ G. C. Greubel, Nov 18 2018

STATUS

proposed

editing

Discussion
Mon Mar 16
08:53
Joerg Arndt: grrr...
#30 by G. C. Greubel at Mon Mar 16 03:15:31 EDT 2020
STATUS

editing

proposed

Discussion
Mon Mar 16
03:17
Michel Marcus: yes ??
#29 by G. C. Greubel at Mon Mar 16 03:15:27 EDT 2020
PROG

(MAGMA) m:=30; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!( (&*[(1 - x^(7*j))^56/(1 - x^j)^57: j in [1..30m+2]]) )); // G. C. Greubel, Nov 18 2018

STATUS

proposed

editing

#28 by Michel Marcus at Sun Mar 15 18:21:18 EDT 2020
STATUS

editing

proposed

#27 by Michel Marcus at Sun Mar 15 18:21:12 EDT 2020
PROG

(PARI) my(x='x+O('x^30)); Vec(prod(j=1, 5, 30, (1 - x^(7*j))^56/(1 - x^j)^57)) \\ G. C. Greubel, Nov 18 2018

(MAGMA) m:=30; R<x>:=PowerSeriesRing(Integers(), m); Coefficients(R!( (&*[(1 - x^(7*j))^56/(1 - x^j)^57: j in [1..530]]) )); // G. C. Greubel, Nov 18 2018

STATUS

proposed

editing

#26 by Peter Luschny at Sun Mar 15 18:11:48 EDT 2020
STATUS

editing

proposed

#25 by Peter Luschny at Sun Mar 15 18:11:29 EDT 2020
PROG

prec = 30

x = R.gen().O(30prec)

s = prod((1 - x^(7*j))^56/(1 - x^j)^57 for j in (1..5prec))

print(s.coefficients() ) # G. C. Greubel, Nov 18 2018

STATUS

approved

editing

Discussion
Sun Mar 15
18:11
Peter Luschny: Magma?