A036915 a(n) = Sum_{k=0..n} C(2*n-2*k,n-k)^2 * C(2*n,k)^2.

1, 8, 136, 2996, 76168, 2121808, 62886484, 1947164948, 62250464648, 2038917457664, 68056394358736, 2306354482651568, 79138758509239636, 2743929765899780336, 95983445574557632948, 3383168407446955236196, 120039826640626408744328

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

References

• There's an erroneous assertion (caused by a typographical error) in the first printing of M. Petkovsek et al., "A=B", Peters, p. ix. that this is the same as A036917; it is not.

Programs

Mathematica

Table[Sum[Binomial[2n-2k,n-k]^2 Binomial[2n,k]^2,{k,0,n}],{n,0,20}] (* Harvey P. Dale, May 31 2015 *)