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A071800
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Number of lattice paths in the lattice [0..2n] X [0..2n] X [0..2n] which do not pass through the point (n,n,n). Number of paths through a lattice containing a "hole".
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2
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54, 26550, 14330736, 8264889270, 4978317147804, 3090501687886704, 1961313438507566400, 1265749551338006549430, 827693426702217868006500, 547017649101008848332870300
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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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, 2n)-s(3, n)^2
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MATHEMATICA
| Table[Factorial[6n]/Factorial[2n]^3-(Factorial[3n]/Factorial[n]^3)^2, {n, 1, 10}]
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CROSSREFS
| Cf. A006480, A071801, A071803.
Sequence in context: A178633 A085482 A084226 * A093254 A151635 A159732
Adjacent sequences: A071797 A071798 A071799 * A071801 A071802 A071803
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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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