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A285214 Expansion of Product_{k>=0} (1-x^(5*k+4))^(5*k+4). 5

%I #19 Apr 27 2017 10:10:50

%S 1,0,0,0,-4,0,0,0,6,-9,0,0,-4,36,-14,0,1,-54,92,-19,0,36,-228,202,-24,

%T -9,272,-702,358,-29,-158,1168,-1696,598,2,-1027,3810,-3605,904,423,

%U -4600,10196,-6898,1240,2990,-15805,24104,-12242,822,14005,-46090,51376

%N Expansion of Product_{k>=0} (1-x^(5*k+4))^(5*k+4).

%H Seiichi Manyama, <a href="/A285214/b285214.txt">Table of n, a(n) for n = 0..10000</a>

%t nmax = 100; CoefficientList[Series[Product[(1-x^(5*k+4))^(5*k+4), {k,0,nmax}], {x,0,nmax}], x] (* _Vaclav Kotesovec_, Apr 15 2017 *)

%o (PARI) x='x+O('x^100); Vec(prod(k=0, 100, (1 - x^(5*k + 4))^(5*k + 4))) \\ _Indranil Ghosh_, Apr 15 2017

%Y Product_{k>=0} (1-x^(m*k+m-1))^(m*k+m-1): A285069 (m=2), A285212 (m=3), A285213 (m=4), this sequence (m=5).

%Y Cf. A285132.

%K sign

%O 0,5

%A _Seiichi Manyama_, Apr 15 2017

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Last modified August 28 11:28 EDT 2024. Contains 375501 sequences. (Running on oeis4.)