A116072 Central terms of triangle A116071, which equals Pascal's triangle to the matrix power of Pascal's triangle.

1, 2, 18, 200, 2870, 49392, 976668, 21697104, 532727910, 14275220960, 413469332276, 12845983030608, 425442421627132, 14941814934855200, 554044899080129400, 21608731448473756320, 883563752144886420870

Offset: 0

Author

Paul D. Hanna, Feb 03 2006

Keywords

• nonn

Crossrefs

Cf. A000248, A080108, A116071.

Programs

PARI

{a(n)=local(X=x+x*O(x^(2*n)),Y=y+y*O(y^n)); (2*n)!*polcoeff(polcoeff(exp(X*(Y+exp(X))),2*n,x),n,y)}

Formula

a(n) = (n+1)*A000108(n)*A000248(n).