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%I #20 Nov 17 2021 12:39:04
%S 1,1,1,2,4,9,27,96,384,1536,7500,37500,194400,1166400,7563150,
%T 52942050,385351680,3082813440,24998984640,224990861760,2024917755840,
%U 19051200000000,190512000000000,1944663768432000,21391301452752000
%N The maximal coefficient in the expansion of x_1(x_1 + x_2)...(x_1 + x_2 + ... + x_n).
%H Sela Fried, <a href="https://arxiv.org/abs/2111.07331">On the coefficients of the distinct monomials in the expansion of x1(x1+x2)...(x1+x2+...+xn)</a>, arXiv:2111.07331 [math.CO], 2021.
%t Max/@Table[Values@CoefficientRules[Times@@Array[Total@Array[x,#]&,n]],{n,0,12}] (* _Giorgos Kalogeropoulos_, Nov 16 2021 *)
%Y Cf. A000140, A065048, A347917.
%K nonn
%O 0,4
%A _Sela Fried_, Nov 16 2021
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