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Denominators of coefficients in expansion of (cos x)/(1 + cos(sqrt(x))).
7

%I #8 Dec 10 2016 22:40:17

%S 2,8,48,5760,80640,14515200,958003200,1394852659200,41845579776000,

%T 522642751488000,442345819668480000,8992005822220861440000,

%U 1240896803466478878720000,1613165844506422542336000000,609776689223427721003008000000

%N Denominators of coefficients in expansion of (cos x)/(1 + cos(sqrt(x))).

%H Clark Kimberling, <a href="/A279239/b279239.txt">Table of n, a(n) for n = 0..1000</a>

%e (1/2) + (1/8)x - (11/48)x^2 - (343/5760)x^3 + ... ; 1/2, 1/3, -11/48, 1/6480, -343/5760, ... = A279238/A279239.

%t z = 26; t = CoefficientList[Series[Cos[x]/(1 + Cos[Sqrt[x]]), {x, 0, z}], x];

%t Numerator[t] (* A279238 *)

%t Denominator[t] (* A279239 *)

%t %/2 (* A279240 *)

%Y Cf. A279238, A279240.

%K nonn,easy,frac

%O 0,1

%A _Clark Kimberling_, Dec 08 2016

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Last modified September 22 05:15 EDT 2024. Contains 376097 sequences. (Running on oeis4.)