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A035863 Coordination sequence for A_37 lattice. 0
1, 1406, 494912, 77756018, 6920161874, 398019718826, 16094610778352, 485262943621094, 11394625956532886, 215500967075111278, 3371762603125563792, 44608224481707201954, 508174845038478558618 (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 (37, -666, 7770, -66045, 435897, -2324784, 10295472, -38608020, 124403620, -348330136, 854992152, -1852482996, 3562467300, -6107086800, 9364199760, -12875774670, 15905368710, -17672631900, 17672631900, -15905368710, 12875774670, -9364199760, 6107086800, -3562467300, 1852482996, -854992152, 348330136, -124403620, 38608020, -10295472, 2324784, -435897, 66045, -7770, 666, -37, 1).
FORMULA
Sum_{d=1..37} C(38, d)*C(m/2-1, d-1)*C(37-d+m/2, m/2), where norm m is always even.
CROSSREFS
Sequence in context: A022058 A107522 A158764 * A045127 A210786 A187957
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 May 23 04:41 EDT 2024. Contains 372758 sequences. (Running on oeis4.)