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A074635
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a(0)=1, a(n)=sum(binomial(n,k)^2*binomial(n+k,k+1)^2,k=0..n)/n^2,n=1,2...
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4
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1, 1, 2, 14, 162, 2422, 42366, 824210, 17315570, 385569110, 8985969258, 217250577766, 5413255505686, 138331193497122, 3611539459764086, 96043941386294106
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| Special values of the hypergeometric function 4F3, in Maple notation: a(n)= hypergeom([n+1, n+1, -n, -n], [1, 2, 2], 1), n=0, 1...
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CROSSREFS
| Sequence in context: A175564 A196791 A052112 * A201465 A124215 A003582
Adjacent sequences: A074632 A074633 A074634 * A074636 A074637 A074638
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KEYWORD
| nonn
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AUTHOR
| Karol A. Penson (penson(AT)lptl.jussieu.fr), Aug 26 2002
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