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A039828 Largest coefficient in expansion of Product_{i=1..n} (1 + (-q)^i). 7

%I #16 Feb 04 2022 11:11:37

%S 1,1,1,2,3,5,8,14,23,40,69,123,221,397,722,1314,2410,4441,8215,15260,

%T 28460,53222,99820,187692,353743,668273,1264854,2399207,4559828,

%U 8679280,16547220,31592878,60400688,115633260,221625505,425313967

%N Largest coefficient in expansion of Product_{i=1..n} (1 + (-q)^i).

%H Seiichi Manyama, <a href="/A039828/b039828.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) ~ sqrt(3) * 2^(n + 1/2) / (sqrt(Pi) * n^(3/2)). - _Vaclav Kotesovec_, Feb 04 2022

%o (PARI) a(n) = vecmax(Vec(prod(i = 1, n, (1 + (-q)^i)))); \\ _Michel Marcus_, Aug 30 2018

%Y Cf. A025591, A039829.

%K nonn

%O 1,4

%A _Olivier GĂ©rard_

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)