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A284322 Expansion of Product_{k>=0} (1 - x^(5*k+2))*(1 - x^(5*k+3)) in powers of x. 2

%I #25 May 06 2017 15:21:54

%S 1,0,-1,-1,0,1,0,-1,-1,1,2,1,-2,-2,1,3,1,-3,-3,2,5,1,-5,-5,2,7,2,-7,

%T -7,4,11,3,-11,-11,5,15,4,-15,-14,8,22,6,-21,-21,10,30,8,-29,-28,15,

%U 42,11,-40,-39,19,56,15,-53,-51,27,76,20,-72,-70,34,99,26,-94,-90

%N Expansion of Product_{k>=0} (1 - x^(5*k+2))*(1 - x^(5*k+3)) in powers of x.

%H Seiichi Manyama, <a href="/A284322/b284322.txt">Table of n, a(n) for n = 0..10000</a>

%F a(n) = -(1/n)*Sum_{k=1..n} A284152(k)*a(n-k), a(0) = 1.

%t CoefficientList[Series[Product[(1 - x^(5k + 2)) ( 1 - x^(5k + 3)), {k, 0, 100}], {x, 0, 100}],x] (* _Indranil Ghosh_, Mar 25 2017 *)

%o (PARI) Vec(prod(k=0, 100, (1 - x^(5*k + 2)) * (1 - x^(5*k + 3))) + O(x^101)) \\ _Indranil Ghosh_, Mar 25 2017

%Y Cf. A003106, A284152, A284319, A284320, A284321.

%K sign

%O 0,11

%A _Seiichi Manyama_, Mar 25 2017

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)