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A038665
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Convolution of A007054 (super ballot numbers) with A000984 (central binomial coefficients).
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4
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3, 8, 25, 84, 294, 1056, 3861, 14300, 53482, 201552, 764218, 2912168, 11143500, 42791040, 164812365, 636438060, 2463251010, 9552774000, 37112526990, 144410649240, 562724141460, 2195581527360, 8576490341250, 33537507830424
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Guo-Niu Han, Enumeration of Standard Puzzles
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FORMULA
| a(n) = (n+3)*C(n+1), C(n): Catalan numbers A000108, G.f.: c(x)*(4-c(x))/sqrt(1-4*x), c(x): G.f. for Catalan numbers.
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MAPLE
| seq((n+2)*binomial(2*n, n)/(n+1), n=1..24); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 08 2008]
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CROSSREFS
| Cf. A007054, A000984, A000108, A000777.
Sequence in context: A148796 A148797 A123638 * A172382 A006372 A151426
Adjacent sequences: A038662 A038663 A038664 * A038666 A038667 A038668
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KEYWORD
| easy,nonn
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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