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

%I #7 Dec 02 2016 01:20:31

%S 1,1,2,3,5,9,15,28,48,90,159,296,537,992,1830,3376,6273,11609,21627,

%T 40186,74966,139764,261063,487901,912607,1708571,3200241,5999508,

%U 11251618,21116746,39647006,74479444,139971218,263167645,494991043

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

%o (PARI)

%o 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,k));

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

%Y Cf. A092422.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Mar 22 2004