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A035862 Coordination sequence for A_36 lattice. 0
1, 1332, 444222, 66139572, 5580415332, 304443650268, 11684773278474, 334649195749404, 7470745282556604, 134455435826431124, 2003982934266044766, 25282735247881319508, 274962687407906891868 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
R. Bacher, P. de la Harpe and B. Venkov, Séries de croissance et séries d'Ehrhart associées aux réseaux de racines, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.
Index entries for linear recurrences with constant coefficients, signature (36, -630, 7140, -58905, 376992, -1947792, 8347680, -30260340, 94143280, -254186856, 600805296, -1251677700, 2310789600, -3796297200, 5567902560, -7307872110, 8597496600, -9075135300, 8597496600, -7307872110, 5567902560, -3796297200, 2310789600, -1251677700, 600805296, -254186856, 94143280, -30260340, 8347680, -1947792, 376992, -58905, 7140, -630, 36, -1).
FORMULA
Sum_{d=1..36} C(37, d)*C(m/2-1, d-1)*C(36-d+m/2, m/2), where norm m is always even.
CROSSREFS
Sequence in context: A158743 A188308 A185494 * A003907 A043613 A028501
KEYWORD
nonn,easy
AUTHOR
Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
EXTENSIONS
a(11) corrected, a(12) added by Ray Chandler, Jan 19 2016
STATUS
approved

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Last modified March 28 12:59 EDT 2024. Contains 371254 sequences. (Running on oeis4.)