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A036910 (binomial(4*n,2*n)+binomial(2*n,n)^2)/2. +0
3
1, 5, 53, 662, 8885, 124130, 1778966, 25947612, 383358645, 5719519850, 85990654178, 1300866635172, 19780031677718, 302045506654052, 4629016098160220, 71163013287905912, 1096960888092571317, 16949379732631632570, 262435310495071434602 (list; graph; listen)
OFFSET

0,2

REFERENCES

The right-hand side of a binomial coefficient identity in H. W. Gould, Combinatorial Identities, Morgantown, 1972; Eq 3.68 page 30.

FORMULA

a(n)=sum{k=0..n, (binomial(2n, k))^2 } - Paul Barry (pbarry(AT)wit.ie), May 15 2003

CROSSREFS

Sequence in context: A069592 A065534 A123788 this_sequence A036916 A118583 A090360

Adjacent sequences: A036907 A036908 A036909 this_sequence A036911 A036912 A036913

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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