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Search: id:A085374
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| A085374 |
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a(n)=C(2n+1,n+1)C(n+3,3). |
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+0
3
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| 1, 12, 100, 700, 4410, 25872, 144144, 772200, 4011150, 20323160, 100876776, 492156392, 2366136500, 11232648000, 52739956800, 245240799120, 1130632213590, 5172827121000, 23504600427000, 106141827191400
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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a(n)=A000292/2*A000984 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 18 2007
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FORMULA
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a(n)=C(n+2,3)/2*C(2*n,n), n>=1 . - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 18 2007
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MAPLE
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seq(binomial(n+2, 3)/2*binomial(2*n, n), n=1..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 18 2007
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MATHEMATICA
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Table[Binomial[2 n + 1, n + 1]Binomial[n + 3, 3], {n, 0, 30}]
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CROSSREFS
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Cf. A001700, A002457, A085373.
Cf. A000292, A000984.
Sequence in context: A004058 A052178 A123902 this_sequence A016283 A008547 A109020
Adjacent sequences: A085371 A085372 A085373 this_sequence A085375 A085376 A085377
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KEYWORD
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easy,nonn
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Jun 26 2003
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