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Search: id:A071799
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| A071799 |
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Number of lattice paths in the lattice [0..2n] X [0..2n] which do not pass through the point (n,n). |
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+0
1
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| 2, 34, 524, 7970, 121252, 1850380, 28337976, 435443490, 6711230900, 103711749284, 1606464657096, 24935144010764, 387746052588104, 6039349005200440, 94203136553911024, 1471326505700038434
(list; graph; listen)
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OFFSET
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1,1
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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Binomial(4n, 2n)-binomial(2n, n)^2
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MATHEMATICA
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Table[Binomial[4n, 2n]-Binomial[2n, n]^2, {n, 1, 20}]
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CROSSREFS
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Cf. A000984, A002894.
Sequence in context: A092408 A005261 A104898 this_sequence A098704 A119298 A045585
Adjacent sequences: A071796 A071797 A071798 this_sequence A071800 A071801 A071802
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KEYWORD
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easy,nice,nonn
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AUTHOR
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T. D. Noe (noe(AT)sspectra.com), Jun 06 2002
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