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A292128 Expansion of Product_{k>=1} (1 - 3*x^k). 6

%I #20 Apr 13 2018 21:52:43

%S 1,-3,-3,6,6,15,-12,-3,-30,-48,6,-12,15,78,186,-21,168,42,42,-246,

%T -408,-156,-399,-552,-498,-246,213,1248,-318,1608,1392,2508,1482,2976,

%U -480,-1011,1500,-1704,-4296,-4206,-8499,-8652,-7626,-7050,-192,-13008,-480,-2118

%N Expansion of Product_{k>=1} (1 - 3*x^k).

%H Seiichi Manyama, <a href="/A292128/b292128.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: Sum_{i>=0} (-3)^i*x^(i*(i+1)/2)/Product_{j=1..i} (1 - x^j). - _Ilya Gutkovskiy_, Apr 13 2018

%o (PARI) N=66; x='x+O('x^N); Vec(prod(n=1, N, 1-3*x^n))

%Y Column k=3 of A292131.

%Y Product_{k>=1} (1 - m*x^k): A010815 (m=1), A070877 (m=2), this sequence (m=3).

%Y Cf. A032308, A242587, A292130.

%K sign

%O 0,2

%A _Seiichi Manyama_, Sep 09 2017

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)