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A035842 Coordination sequence for A_16 lattice. 0
1, 272, 18632, 579632, 10501172, 127485584, 1135620536, 7907476016, 45076309166, 217815522736, 916470530808, 3429182092560, 11603837100660, 35995371261360, 103501142484360, 278406848295312 (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}^16 C(17, d) C(m/2-1, d-1) C(16-d+m/2, m/2), where norm m is always even

CROSSREFS

Sequence in context: A000517 A168372 A023907 * A000518 A162009 A198289

Adjacent sequences:  A035839 A035840 A035841 * A035843 A035844 A035845

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 14 10:01 EST 2012. Contains 205614 sequences.