A246385 Row sums of triangular matrix A246381 = exp(L) where L(n,k) = C(2*n, 2*k+1)/2.

1, 2, 6, 29, 192, 1657, 17980, 237361, 3726512, 68389537, 1445817556, 34786395633, 943051379976, 28561453705681, 959221358124188, 35493038942592705, 1438763782565929568, 63572690326212167745, 3048111097747838424484, 157947658466567381928913, 8813142621489336583785400

Offset

0,2

Links

Table of n, a(n) for n=0..20.

Prog

(PARI) {a(n)=local(L=matrix(n+1, n+1, r, c, if(r>=c, binomial(2*r-2, 2*c-1)/2)), A);
A=sum(m=0, n, L^m/m!); sum(k=0, n, A[n+1, k+1])}
for(n=0, 25, print1(a(n), ", "))

Crossrefs

Cf. A246381, A246382, A246383, A246384.

Sequence in context: A020126 A124529 A370456 * A260578 A296792 A241462

Adjacent sequences: A246382 A246383 A246384 * A246386 A246387 A246388

Keyword

nonn

Author

Paul D. Hanna, Aug 24 2014

Status

approved