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A035849 Coordination sequence for A_23 lattice. 0
1, 552, 76452, 4756952, 169447302, 3956576472, 66087441092, 839584669992, 8489857618992, 70764981877592, 499828461729852, 3059000328006312, 16519884821277962, 79920498285116712, 350767245201478812 (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..14.

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 (23, -253, 1771, -8855, 33649, -100947, 245157, -490314, 817190, -1144066, 1352078, -1352078, 1144066, -817190, 490314, -245157, 100947, -33649, 8855, -1771, 253, -23, 1).

FORMULA

Sum_{d=1..23} C(24, d)*C(m/2-1, d-1)*C(23-d+m/2, m/2), where norm m is always even.

CROSSREFS

Sequence in context: A282595 A290048 A023914 * A028686 A247531 A171428

Adjacent sequences:  A035846 A035847 A035848 * A035850 A035851 A035852

KEYWORD

nonn,easy

AUTHOR

Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

STATUS

approved

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Last modified December 4 05:56 EST 2021. Contains 349470 sequences. (Running on oeis4.)