A279240 Denominators of coefficients in expansion of (2 cos x)/(1 + cos(sqrt(x))).
1, 4, 24, 2880, 40320, 7257600, 479001600, 697426329600, 20922789888000, 261321375744000, 221172909834240000, 4496002911110430720000, 620448401733239439360000, 806582922253211271168000000, 304888344611713860501504000000, 4244045756995056938180935680000000
Offset: 0
Examples
(1/1) + (1/4)x - (11/24)x^2 - (343/2880)x^3 + (871/40320)x^4 + ... ; 1/1, 1/4, -11/24, -343/2880, ... = A279238/A279240.
Links
- Clark Kimberling, Table of n, a(n) for n = 0..1000
Programs
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Mathematica
CoefficientList[Series[2 Cos[x]/(1+Cos[Sqrt[x]]),{x,0,20}],x]//Denominator (* Harvey P. Dale, Jun 05 2024 *)
Extensions
Prior Mathematica program corrected by Harvey P. Dale, Jun 05 2024