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A279239 Denominators of coefficients in expansion of (cos x)/(1 + cos(sqrt(x))). 7
2, 8, 48, 5760, 80640, 14515200, 958003200, 1394852659200, 41845579776000, 522642751488000, 442345819668480000, 8992005822220861440000, 1240896803466478878720000, 1613165844506422542336000000, 609776689223427721003008000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

EXAMPLE

(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.

MATHEMATICA

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

Numerator[t]  (* A279238 *)

Denominator[t]  (* A279239 *)

%/2 (* A279240 *)

CROSSREFS

Cf. A279238, A279240.

Sequence in context: A322309 A009745 A009751 * A279109 A183070 A032116

Adjacent sequences:  A279236 A279237 A279238 * A279240 A279241 A279242

KEYWORD

nonn,easy,frac

AUTHOR

Clark Kimberling, Dec 08 2016

STATUS

approved

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Last modified June 24 02:56 EDT 2021. Contains 345415 sequences. (Running on oeis4.)