login

Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.

E.g.f.: 1/Product_{k>0} (1-x^(2*k-1)/(2*k-1)!).
2

%I #11 Nov 23 2017 21:33:07

%S 1,1,2,7,28,141,866,6063,48560,438721,4387582,48272643,579642328,

%T 7535456657,105499762356,1582665820557,25322712724800,430488412249937,

%U 7748929638924950,147229720951176075,2944597048114831688,61836721841638907121,1360407969674984670156

%N E.g.f.: 1/Product_{k>0} (1-x^(2*k-1)/(2*k-1)!).

%H Robert Israel, <a href="/A294531/b294531.txt">Table of n, a(n) for n = 0..449</a>

%p N:= 40:

%p S:= series(1/mul(1-x^j/j!,j=1..N,2),x,N+1):

%p seq(coeff(S,x,n)*n!,n=0..N); # _Robert Israel_, Nov 23 2017

%t nmax = 30; CoefficientList[Series[1/Product[(1-x^(2*k-1)/(2*k-1)!), {k, 1, nmax}], {x, 0, nmax}], x] * Range[0, nmax]! (* _Vaclav Kotesovec_, Nov 02 2017 *)

%Y Cf. A005651, A032310.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Nov 02 2017