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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 (list; graph; refs; listen; history; text; internal format)
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: A156341 A262718 A210989 * A266518 A303381 A224881

Adjacent sequences:  A116069 A116070 A116071 * A116073 A116074 A116075

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Feb 03 2006

STATUS

approved

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Last modified April 16 09:36 EDT 2021. Contains 343030 sequences. (Running on oeis4.)