A365915 - OEIS

%I #23 Sep 23 2023 08:51:55

%S 1,0,0,0,0,1,0,1,0,1,252,1,1584,1,7436,756757,31616,14702689,129404,

%T 189559657,11733266992,2062481617,516242875084,20611819933,

%U 14135172627712,623557476714481,312148517693820,52096977907924561,6121122865591920

%N Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(2*k+5) / (2*k+5)! ).

%H Seiichi Manyama, <a href="/A365915/b365915.txt">Table of n, a(n) for n = 0..529</a>

%F a(0) = 1; a(n) = Sum_{k=0..floor((n-5)/2)} binomial(n,2*k+5) * a(n-2*k-5).

%F E.g.f.: 1 / ( 1 + x + x^3/6 - sinh(x) ).

%o (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1+x+x^3/6-sinh(x))))

%Y Cf. A245790, A365916, A365917.

%Y Cf. A006154, A332258.

%Y Cf. A365896.

%K nonn,easy

%O 0,11

%A _Seiichi Manyama_, Sep 23 2023