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Row sums of triangle A092422, which is generated from the even-numbered Fibonacci polynomials (A011973).
1

%I #5 Dec 06 2014 09:25:15

%S 1,2,4,9,21,50,121,297,736,1837,4610,11618,29379,74500,189362,482282,

%T 1230460,3144137,8045057,20610526,52860253,135707819,348720196,

%U 896833527,2308229426,5944998971,15321681454,39511323139,101947848801,263183509040,679747862389,1756432848707,4540430713995

%N Row sums of triangle A092422, which is generated from the even-numbered Fibonacci polynomials (A011973).

%o (PARI) T(n,k)=if(n<k||k<0,0,if(k==0,1,sum(j=0,min(k,n-k),binomial(k+j,k-j)*T(n-k,j))));

%o a(n)=sum(k=0,n,T(n,k));

%o vector(66,n,a(n-1))

%Y Cf. A092422.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Mar 22 2004