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A071803
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Number of paths in the lattice [0..n] X [0..n] X [0..n] which do not pass through the point (Floor(n/2),Floor(n/2),Floor(n/2)). Number of paths through a lattice containing a "hole".
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2
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54, 1140, 26550, 605556, 14330736, 340860960, 8264889270, 201651836100, 4978317147804, 123546256876224, 3090501687886704, 77632745316063840, 1961313438507566400, 49717549985405892480, 1265749551338006549430
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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LINKS
| Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
| s(3, n) - s(3, Floor(n/2)) s(3, Ceiling(n/2))
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MATHEMATICA
| Table[Factorial[3n]/Factorial[n]^3 - Factorial[3Floor[n/2]]Factorial[3Ceiling[n/2]]/Factorial[Floor[n/2]]^3/Factorial[Ceiling[n/2]]^3, {n, 2, 20}]
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CROSSREFS
| Cf. A006480, A071800, A071801.
Sequence in context: A160345 A121625 A190399 * A160289 A079876 A017770
Adjacent sequences: A071800 A071801 A071802 * A071804 A071805 A071806
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KEYWORD
| easy,nice,nonn
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AUTHOR
| T. D. Noe (noe(AT)sspectra.com), Jun 06 2002
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