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A035850 Coordination sequence for A_24 lattice. 0
1, 600, 90300, 6100200, 235597650, 5953712520, 107392877100, 1469778991800, 15969368635950, 142638039461400, 1076681464768860, 7023070170402600, 40317756506959050, 206818794600952200, 960154451013729900 (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 (24, -276, 2024, -10626, 42504, -134596, 346104, -735471, 1307504, -1961256, 2496144, -2704156, 2496144, -1961256, 1307504, -735471, 346104, -134596, 42504, -10626, 2024, -276, 24, -1).

FORMULA

Sum_{d=1..24} C(25, d)*C(m/2-1, d-1)*C(24-d+m/2, m/2), where norm m is always even.

CROSSREFS

Sequence in context: A048530 A223463 A023915 * A093260 A008689 A126835

Adjacent sequences:  A035847 A035848 A035849 * A035851 A035852 A035853

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified December 8 12:28 EST 2021. Contains 349596 sequences. (Running on oeis4.)