login
Row sums of triangle A108290.
3

%I #6 Jun 14 2015 00:42:59

%S 1,3,19,195,2751,49413,1079079,27760323,822299383,27565191753,

%T 1031671508495,42643092165765,1929325374428791,94835735736471369,

%U 5032700868665421519,286770182910733076163,17463186681730290301671

%N Row sums of triangle A108290.

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

%o (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))

%o (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))

%Y Cf. A108267, A060543, A108290.

%K nonn

%O 0,2

%A _Paul D. Hanna_, May 31 2005