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A035843 Coordination sequence for A_17 lattice. 0
1, 306, 23562, 822018, 16639974, 224676522, 2214405618, 16967926746, 105864434424, 556959705302, 2538818182782, 10244035242630, 37221177046410, 123490242018990, 378407481456870, 1081149205136382 (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..15.

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 (17, -136, 680, -2380, 6188, -12376, 19448, -24310, 24310, -19448, 12376, -6188, 2380, -680, 136, -17, 1).

FORMULA

Sum_{d=1..17} C(18, d)*C(m/2-1, d-1)*C(17-d+m/2, m/2), where norm m is always even.

CROSSREFS

Sequence in context: A221854 A221724 A023908 * A128477 A028680 A118282

Adjacent sequences:  A035840 A035841 A035842 * A035844 A035845 A035846

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified August 7 19:57 EDT 2020. Contains 336279 sequences. (Running on oeis4.)