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Denominators of rationals r(n) related to the z-sequence of the Sheffer matrix A060821 for Hermite polynomials.
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%I #5 Jul 11 2018 06:39:21

%S 1,4,4,32,16,64,64,1024,256,1024,1024,8192,4096,16384,16384,524288,

%T 65536,262144,262144,2097152,1048576,4194304,4194304,67108864,

%U 16777216,67108864,67108864,536870912,268435456,1073741824

%N Denominators of rationals r(n) related to the z-sequence of the Sheffer matrix A060821 for Hermite polynomials.

%C Numerators are A130187.

%C See A130187 for details on r(n):= A130187(n)/a(n) and the corresponding z-sequence for the Hermite matrix A060821.

%H G. C. Greubel, <a href="/A130188/b130188.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = denominator(-2*z(2*n+1)), n>=0, with the e.g.f. for z(n) given in A130187.

%t F:= CoefficientList[Series[-2*(Exp[x^2/4] -1)/x, {x,0,75}], x]*Range[0, 75]!; Table[Denominator[-2*F[[2*n]]], {n, 1, 50}] (* _G. C. Greubel_, Jul 10 2018 *)

%K nonn,frac,easy

%O 0,2

%A _Wolfdieter Lang_ Jun 01 2007