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Column 2 of triangular matrix A246381 = exp(L) where L(n,k) = C(2*n, 2*k+1)/2.
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%I #3 Aug 24 2014 19:53:50

%S 1,3,34,296,3463,49432,810268,15455072,338772685,8394224560,

%T 233329015938,7227504399296,247636140843723,9326473325044712,

%U 384115023516036088,17218573777983105984,836440310185415850201,43861870915784327912032,2474220973150711726940734

%N Column 2 of triangular matrix A246381 = exp(L) where L(n,k) = C(2*n, 2*k+1)/2.

%o (PARI) {a(n)=local(L=matrix(n+3,n+3,r,c,if(r>=c,binomial(2*r-2,2*c-1)/2)),A);

%o A=sum(m=0,n,L^m/m!);A[n+3,3]}

%o for(n=0,25,print1(a(n),", "))

%Y Cf. A246381, A246382, A246383, A246385.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Aug 24 2014