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A035874 Coordination sequence for A_48 lattice. 0
1, 2352, 1384152, 362955152, 53762385852, 5126650450992, 342037616253032, 16917775827266832, 647441209728416082, 1365913075808174416 (list; graph; refs; listen; history; 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

J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (Abstract, pdf, ps).

FORMULA

sum_{d=1}^48 C(49, d) C(m/2-1, d-1) C(48-d+m/2, m/2), where norm m is always even

CROSSREFS

Sequence in context: A173628 A130023 A063517 * A136420 A132391 A134966

Adjacent sequences:  A035871 A035872 A035873 * A035875 A035876 A035877

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.