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A035856 Coordination sequence for A_30 lattice. 0
1, 930, 216690, 22583810, 1338036570, 51479517042, 1400792169890, 28618505434770, 458896797950430, 5976672906978410, 64971574193515962, 602758415976923850, 4860664625733355250, 34599738140887685850 (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 (30, -435, 4060, -27405, 142506, -593775, 2035800, -5852925, 14307150, -30045015, 54627300, -86493225, 119759850, -145422675, 155117520, -145422675, 119759850, -86493225, 54627300, -30045015, 14307150, -5852925, 2035800, -593775, 142506, -27405, 4060, -435, 30, -1).

FORMULA

Sum_{d=1..30} C(31, d)*C(m/2-1, d-1)*C(30-d+m/2, m/2), where norm m is always even.

CROSSREFS

Sequence in context: A158679 A250384 A209810 * A093231 A252530 A105213

Adjacent sequences:  A035853 A035854 A035855 * A035857 A035858 A035859

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified January 23 14:42 EST 2022. Contains 350513 sequences. (Running on oeis4.)