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A035853 Coordination sequence for A_27 lattice. 0
1, 756, 143262, 12161268, 588265524, 18537751260, 414778201866, 6999447089052, 93165559355988, 1012535574855924, 9235450619189550, 72289879424643636, 494595518082468012, 3003613286791211388 (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..13.

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 (27, -351, 2925, -17550, 80730, -296010, 888030, -2220075, 4686825, -8436285, 13037895, -17383860, 20058300, -20058300, 17383860, -13037895, 8436285, -4686825, 2220075, -888030, 296010, -80730, 17550, -2925, 351, -27, 1).

FORMULA

Sum_{d=1..27} C(28, d)*C(m/2-1, d-1)*C(27-d+m/2, m/2), where norm m is always even.

CROSSREFS

Sequence in context: A269140 A269198 A269106 * A269286 A289570 A269934

Adjacent sequences:  A035850 A035851 A035852 * A035854 A035855 A035856

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified May 30 15:21 EDT 2020. Contains 334726 sequences. (Running on oeis4.)