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A100511 Sum_{j=0..n} Sum_{k=0..n} binomial(n,j)*binomial(n,k)*max(j,k). +0
2
0, 3, 22, 126, 652, 3190, 15060, 69356, 313624, 1398438, 6166660, 26948548, 116888232, 503811516, 2159864392, 9216445080, 39168381488, 165864540934, 700151508324, 2947120122068, 12373581565960, 51831196048212, 216659135089496, 903925011410536 (list; graph; listen)
OFFSET

0,2

REFERENCES

M. Klamkin, ed., Problems in Applied Mathematics: Selections from SIAM Review, SIAM, 1990; see pp. 127-129.

FORMULA

Equals n*2^(n-1) + (n/2)*binomial(2*n, n).

CROSSREFS

Cf. A002457, A033504.

Sequence in context: A061182 A143552 A006283 this_sequence A033506 A091639 A091636

Adjacent sequences: A100508 A100509 A100510 this_sequence A100512 A100513 A100514

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Nov 24 2004

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


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