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Search: id:A008977
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| 1, 24, 2520, 369600, 63063000, 11732745024, 2308743493056, 472518347558400, 99561092450391000, 21452752266265320000, 4705360871073570227520, 1047071828879079131681280, 235809301462142612780721600
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Number of paths of length 4n in an n X n X n X n grid from (0,0,0,0) to (n,n,n,n).
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
R. M. Dickau, Paths through a 4-D lattice
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FORMULA
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a(n) = A139541(n)*(A001316(n)/A049606(n))^3. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 28 2008
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EXAMPLE
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a(13)=52!/(13!)^4=53644737765488792839237440000 is the number of ways of dealing the four hands in Bridge or Whist - Henry Bottomley (se16(AT)btinternet.com), Oct 06 2000
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MAPLE
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A008977 := n->(4*n)!/(n!)^4;
seq((4*n)!/(n!)^4, n=0..12); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 28 2007
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CROSSREFS
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Cf. A000984, A006480, A008978.
Sequence in context: A001501 A054005 A107675 this_sequence A064596 A092706 A060902
Adjacent sequences: A008974 A008975 A008976 this_sequence A008978 A008979 A008980
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KEYWORD
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nonn,easy,nice
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AUTHOR
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njas
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