|
Search: id:A035868
|
|
|
| A035868 |
|
Coordination sequence for A_42 lattice. |
|
+0
1
|
|
| 1, 1806, 816312, 164532018, 18756445974, 1378914676482, 71082376011528, 2723637332300766, 80988226799441304, 1932071264207861042
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
R. Bacher, P. de la Harpe and B. Venkov, Series de croissance et series d'Ehrhart associees aux reseaux de racines, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.
J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.
|
|
LINKS
|
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (Abstract, pdf, ps).
|
|
FORMULA
|
sum_{d=1}^42 C(43, d) C(m/2-1, d-1) C(42-d+m/2, m/2), where norm m is always even
|
|
CROSSREFS
|
Adjacent sequences: A035865 A035866 A035867 this_sequence A035869 A035870 A035871
Sequence in context: A035767 A107563 A020402 this_sequence A122477 A134155 A058954
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
Serra-Sagrista, Joan; jserra(AT)ccd.uab.es
|
|
|
Search completed in 0.002 seconds
|
