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Row sums of triangular matrix defined by exp(L) where L(n,k) = C(2*n, 2*k+1) for n>=0, k=0..n.
2

%I #7 Aug 24 2014 20:11:52

%S 1,3,13,85,745,8409,117613,1982629,39464401,912190449,24152719957,

%T 724395387805,24377798538361,913045021983273,37793566032030013,

%U 1718326694466838165,85350122951385331105,4609179886250736447969,269460743294547701329573,16987827203251213328307469

%N Row sums of triangular matrix defined by exp(L) where L(n,k) = C(2*n, 2*k+1) for n>=0, k=0..n.

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

%o A=sum(m=0,n,L^m/m!);sum(k=0,n,A[n+1,k+1])}

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

%Y Cf. A246381, A246385, A246386.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Aug 24 2014