A108292 Row sums of triangle A108290.

1, 3, 19, 195, 2751, 49413, 1079079, 27760323, 822299383, 27565191753, 1031671508495, 42643092165765, 1929325374428791, 94835735736471369, 5032700868665421519, 286770182910733076163, 17463186681730290301671

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = Sum_{k=0..n} A108267(n, k)*2^k.

Prog

(PARI) a(n)=local(X=x+x*O(x^n)); sum(k=0, n, polcoeff(sum(j=0, n, binomial(n+n*j+j, n*j+j)*(x/(1+X))^j)/(1+X), k))
(PARI) a(n)=sum(k=0, n, 2^k*polcoeff( (1-x)^(n+1)*sum(j=0, n, binomial(n+n*j+j, n*j+j)*x^j), k))

Crossrefs

Cf. A108267, A060543, A108290.

Sequence in context: A080893 A028854 A222865 * A053554 A048172 A079145

Adjacent sequences: A108289 A108290 A108291 * A108293 A108294 A108295

Keyword

nonn

Author

Paul D. Hanna, May 31 2005

Status

approved