|
Search: id:A002899
|
|
|
| A002899 |
|
Number of n-step polygons on f.c.c. lattice.
(Formerly M4840 N2068)
|
|
+0
1
|
|
| 1, 0, 12, 48, 540, 4320, 42240, 403200, 4038300, 40958400, 423550512, 4434978240, 46982827584, 502437551616, 5417597053440, 58831951546368, 642874989479580, 7063600894137216, 77991775777488144, 864910651813116480
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
REFERENCES
|
C. Domb, On the theory of cooperative phenomena in crystals, Advances in Phys., 9 (1960), 149-361.
David H. Bailey, Jonathan M. Borwein, David Broadhurst and M. L. Glasser, Elliptic integral evaluations of Bessel moments, arXiv:0801.0891.
|
|
LINKS
|
Index entries for sequences related to f.c.c. lattice
|
|
PROGRAM
|
(PARI) {a(n)=sum(k=0, n, binomial(n, k)*(-4)^(n-k)*sum(j=0, k, binomial(k, j)^2*binomial(2*k-2*j, k-j)*binomial(2*j, j)))} print(vector(20, n, a(n-1))) - David Broadhurst (D.Broadhurst(AT)open.ac.uk), Feb 06 2008
|
|
CROSSREFS
|
Cf. A002895.
Sequence in context: A061148 A052601 A003498 this_sequence A077612 A041272 A022282
Adjacent sequences: A002896 A002897 A002898 this_sequence A002900 A002901 A002902
|
|
KEYWORD
|
nonn,walk,nice
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
More terms from David Broadhurst (D.Broadhurst(AT)open.ac.uk), Feb 06 2008
|
|
|
Search completed in 0.002 seconds
|
