A279256 - OEIS

%I #5 Dec 12 2016 09:16:16

%S 1,5,19,977,4469,214171,457321,925684673,4949391841,493402195453,

%T 14167601252171,57190922263627,69165140252515309,11615975003110672871,

%U 547719474074019696919,54367007962729782596209,6786547315820425430115737,1769764154745747063102330217

%N Numerators of coefficients in expansion of (e^x)/(1 + cos(sqrt(x))).

%H Clark Kimberling, <a href="/A279256/b279256.txt">Table of n, a(n) for n = 0..1000</a>

%e (1/2) + (5/8)x + (19/48)x^2 + (977/5760)x^3 + ... ; 1/2, 5/8, 19/48, 977/5760, ... = A279256/A279239.

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

%t Numerator[t]   (* A279256 *)

%t Denominator[t] (* A279239 *)

%Y Cf. A279239.

%K nonn,easy,frac

%O 0,2

%A _Clark Kimberling_, Dec 11 2016