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A035859 Coordination sequence for A_33 lattice. 0
1, 1122, 315282, 39585282, 2820372522, 130174144914, 4236638107746, 103169215245426, 1964280056680326, 30250552830905946, 387159959112556938, 4209712158409065210, 39606467973324369810 (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..12.

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 (33, -528, 5456, -40920, 237336, -1107568, 4272048, -13884156, 38567100, -92561040, 193536720, -354817320, 573166440, -818809200, 1037158320, -1166803110, 1166803110, -1037158320, 818809200, -573166440, 354817320, -193536720, 92561040, -38567100, 13884156, -4272048, 1107568, -237336, 40920, -5456, 528, -33, 1).

FORMULA

Sum_{d=1..33} C(34, d)*C(m/2-1, d-1)*C(33-d+m/2, m/2), where norm m is always even.

CROSSREFS

Sequence in context: A324404 A158729 A346219 * A105310 A200072 A261264

Adjacent sequences:  A035856 A035857 A035858 * A035860 A035861 A035862

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified May 28 13:05 EDT 2022. Contains 354115 sequences. (Running on oeis4.)