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A035847 Coordination sequence for A_21 lattice. 0
1, 462, 53592, 2798642, 83945862, 1657762722, 23539760552, 255689552382, 2224042468032, 16045139112002, 98698280879352, 529244674992222, 2518877938240202, 10799525727846702, 42229092648830472 (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}^21 C(22, d) C(m/2-1, d-1) C(21-d+m/2, m/2), where norm m is always even

CROSSREFS

Sequence in context: A194718 A023912 A027565 * A140905 A025038 A028684

Adjacent sequences:  A035844 A035845 A035846 * A035848 A035849 A035850

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 16 17:48 EST 2012. Contains 205939 sequences.