|
| |
|
|
A035860
|
|
Coordination sequence for A_34 lattice.
|
|
0
|
|
|
|
1, 1190, 354620, 47203730, 3563792960, 174181206542, 5997990984020, 154390001870810, 3103724917721540, 50409189277349630, 679545855082425212, 7772608216802526650, 76822363756617886400
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
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
|
Table of n, a(n) for n=0..12.
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
Index entries for linear recurrences with constant coefficients, signature (34, -561, 5984, -46376, 278256, -1344904, 5379616, -18156204, 52451256, -131128140, 286097760, -548354040, 927983760, -1391975640, 1855967520, -2203961430, 2333606220, -2203961430, 1855967520, -1391975640, 927983760, -548354040, 286097760, -131128140, 52451256, -18156204, 5379616, -1344904, 278256, -46376, 5984, -561, 34, -1).
|
|
|
FORMULA
|
Sum_{d=1..34} C(35, d)*C(m/2-1, d-1)*C(34-d+m/2, m/2), where norm m is always even.
|
|
|
CROSSREFS
|
Sequence in context: A233640 A252643 A158735 * A290843 A298239 A299365
Adjacent sequences: A035857 A035858 A035859 * A035861 A035862 A035863
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
|
|
|
STATUS
|
approved
|
| |
|
|
