|
Search: id:A071803
|
|
|
| A071803 |
|
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". |
|
+0
3
|
|
| 54, 1140, 26550, 605556, 14330736, 340860960, 8264889270, 201651836100, 4978317147804, 123546256876224, 3090501687886704, 77632745316063840, 1961313438507566400, 49717549985405892480, 1265749551338006549430
(list; graph; listen)
|
|
|
OFFSET
|
2,1
|
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
FORMULA
|
s(3, n) - s(3, Floor(n/2)) s(3, Ceiling(n/2))
|
|
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}]
|
|
CROSSREFS
|
Cf. A006480, A071800, A071801.
Sequence in context: A107420 A160345 A121625 this_sequence A160289 A079876 A017770
Adjacent sequences: A071800 A071801 A071802 this_sequence A071804 A071805 A071806
|
|
KEYWORD
|
easy,nice,nonn
|
|
AUTHOR
|
T. D. Noe (noe(AT)sspectra.com), Jun 06 2002
|
|
|
Search completed in 0.002 seconds
|
