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A036914 C(2*n,n)*C(3*n,2*n)^4. 0
1, 162, 303750, 995742720, 4202607543750, 20493770553668412, 109738295483524291584, 627433021349790289920000, 3765656995768668039930646470, 23460102529588600192836492187500, 150552597141762184641565143623272500, 989711604190467147276644388444241920000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

The right-hand side of a binomial coefficient identity in H. W. Gould, Combinatorial Identities, Morgantown, 1972; Eq 21.1 page 72.

LINKS

Table of n, a(n) for n=0..11.

FORMULA

Sum_{k=0..2*n} (-1)^k*C(3*n, k)^3*C(3*n-k, n)^3 = (-1)^n*C(2*n, n)*C(3*n, 2*n)^4.

CROSSREFS

Sequence in context: A209965 A230837 A183812 * A214185 A214236 A030442

Adjacent sequences:  A036911 A036912 A036913 * A036915 A036916 A036917

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 2 02:25 EDT 2014. Contains 245138 sequences.