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 A047638 Expand {Product_{j>=1} (1-(-x)^j) - 1}^13 in powers of x. 1

%I

%S 1,-13,78,-286,702,-1131,845,1300,-5928,11583,-13715,5915,15834,

%T -47477,73658,-71201,20436,79391,-198796,280345,-258557,92807,200850,

%U -536341,773916,-768222,432705,204477,-979628,1626196,-1856569,1471184,-452192

%N Expand {Product_{j>=1} (1-(-x)^j) - 1}^13 in powers of x.

%H Robert Israel, <a href="/A047638/b047638.txt">Table of n, a(n) for n = 13..10000</a>

%H H. Gupta, <a href="https://doi.org/10.1112/jlms/s1-39.1.433">On the coefficients of the powers of Dedekind's modular form</a>, J. London Math. Soc., 39 (1964), 433-440.

%H H. Gupta, <a href="/A001482/a001482.pdf">On the coefficients of the powers of Dedekind's modular form</a> (annotated and scanned copy)

%p N:= 100: # to get a(13)..a(N)

%p G:= (mul(1-(-x)^j,j=1..N)-1)^13:

%p S:= series(G,x,N+1):

%p seq(coeff(S,x,n),n=13..N); # _Robert Israel_, Aug 08 2018

%K sign

%O 13,2

%A _N. J. A. Sloane_

%E Definition corrected by _Robert Israel_, Aug 08 2018

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Last modified December 15 09:05 EST 2019. Contains 329995 sequences. (Running on oeis4.)