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A036909 (2/3)*4^n*C(3*n,n). +0
1
8, 160, 3584, 84480, 2050048, 50692096, 1270087680, 32133218304, 819082035200, 21002987765760, 541167892561920, 13999778090188800, 363391162981023744, 9459706464902840320, 246865719056498950144, 6456334894356662059008 (list; graph; listen)
OFFSET

1,1

REFERENCES

The right-hand side of a binomial coefficient identity in H. W. Gould, Combinatorial Identities, Morgantown, 1972; Eq. 3.116 page 35.

FORMULA

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

CROSSREFS

Sequence in context: A025605 A114223 A127369 this_sequence A052140 A064755 A140337

Adjacent sequences: A036906 A036907 A036908 this_sequence A036910 A036911 A036912

KEYWORD

nonn

AUTHOR

njas

page 1

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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