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A116072
Central terms of triangle A116071, which equals Pascal's triangle to the matrix power of Pascal's triangle.
1
1, 2, 18, 200, 2870, 49392, 976668, 21697104, 532727910, 14275220960, 413469332276, 12845983030608, 425442421627132, 14941814934855200, 554044899080129400, 21608731448473756320, 883563752144886420870
OFFSET
0,2
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
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Feb 03 2006
STATUS
approved