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

0,2

Links

Table of n, a(n) for n=0..16.

Formula

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

Prog

(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)}

Crossrefs

Cf. A000248, A080108, A116071.

Sequence in context: A262718 A210989 A361877 * A266518 A303381 A224881

Adjacent sequences: A116069 A116070 A116071 * A116073 A116074 A116075

Keyword

nonn

Author

Paul D. Hanna, Feb 03 2006

Status

approved