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A162442 Denominators of the column sums of the EG1 matrix coefficients.

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%I A162442 #4 Jul 22 2025 06:54:46
%S A162442 2,16,48,512,1280,2048,14336,262144,589824,2621440,5767168,50331648,
%T A162442 109051904,469762048,67108864,34359738368,73014444032,103079215104,
%U A162442 652835028992,1099511627776,3848290697216,48378511622144
%N A162442 Denominators of the column sums of the EG1 matrix coefficients.
%C A162442 For the definition of the EG1 matrix coefficients see A162440.
%C A162442 We define the columns sums by cs(n) = sum(EG1[2*m-1,n], m = 1.. infinity) for n => 2.
%F A162442 a(n) = denom(cs(n)) and numer(cs(n)) = A162441(n) with cs(n) = (2^(2-2*n)/(n-1))*((2*n-1)!/((n-1)!^2)).
%F A162442 a(n) = denom((1/(n-1))*(2*n-1)*binomial(2*n-2,n-1)/4^(n-1))
%Y A162442 Equals A052469(n-1)/2 for n=>2.
%Y A162442 cs(n) = (1/(n-1))*A001803(n-1)/A046161(n-1) for n=>2.
%Y A162442 Cf. A162440 and A162441.
%K A162442 easy,frac,nonn
%O A162442 2,1
%A A162442 _Johannes W. Meijer_, Jul 06 2009