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A279256 Numerators of coefficients in expansion of (e^x)/(1 + cos(sqrt(x))).

%I A279256 #5 Dec 12 2016 09:16:16
%S A279256 1,5,19,977,4469,214171,457321,925684673,4949391841,493402195453,
%T A279256 14167601252171,57190922263627,69165140252515309,11615975003110672871,
%U A279256 547719474074019696919,54367007962729782596209,6786547315820425430115737,1769764154745747063102330217
%N A279256 Numerators of coefficients in expansion of (e^x)/(1 + cos(sqrt(x))).
%H A279256 Clark Kimberling, <a href="/A279256/b279256.txt">Table of n, a(n) for n = 0..1000</a>
%e A279256 (1/2) + (5/8)x + (19/48)x^2 + (977/5760)x^3 + ... ; 1/2, 5/8, 19/48, 977/5760, ... = A279256/A279239.
%t A279256 z = 26; t = CoefficientList[Series[E^x/(1 + Cos[Sqrt[x]]), {x, 0, z}], x];
%t A279256 Numerator[t]   (* A279256 *)
%t A279256 Denominator[t] (* A279239 *)
%Y A279256 Cf. A279239.
%K A279256 nonn,easy,frac
%O A279256 0,2
%A A279256 _Clark Kimberling_, Dec 11 2016