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A055834 T(2n,n), where T is the array in A055830. 1
1, 1, 4, 18, 85, 413, 2044, 10248, 51876, 264550, 1357070, 6994780, 36196706, 187938842, 978599560, 5108177816, 26721644973, 140050505085, 735254208670, 3865837887450, 20353393741065, 107290306033845, 566194674179160 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

a(n) = sum(k=0,n,binomial(n+k-1,n)*binomial(k,n-k)). - Max Alekseyev, Jun 17 2007

MATHEMATICA

Table[Sum[Binomial[n+k-1, n]Binomial[k, n-k], {k, 0, n}], {n, 0, 30}] (* From Harvey P. Dale, Oct 03 2011 *)

CROSSREFS

Sequence in context: A085923 A110166 A046885 * A079567 A030278 A151252

Adjacent sequences:  A055831 A055832 A055833 * A055835 A055836 A055837

KEYWORD

nonn

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), May 28 2000

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Last modified February 14 22:53 EST 2012. Contains 205685 sequences.