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A035864 Coordination sequence for A_38 lattice. 0
1, 1482, 549822, 91025922, 8533542732, 516758578518, 21987155711274, 697043285935854, 17195888346453804, 341373149589873674, 5601169210715792766, 77632358572786641858, 925542147627865217268 (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 (38, -703, 8436, -73815, 501942, -2760681, 12620256, -48903492, 163011640, -472733756, 1203322288, -2707475148, 5414950296, -9669554100, 15471286560, -22239974430, 28781143380, -33578000610, 35345263800, -33578000610, 28781143380, -22239974430, 15471286560, -9669554100, 5414950296, -2707475148, 1203322288, -472733756, 163011640, -48903492, 12620256, -2760681, 501942, -73815, 8436, -703, 38, -1).

FORMULA

Sum_{d=1..38} C(39, d)*C(m/2-1, d-1)*C(38-d+m/2, m/2), where norm m is always even.

CROSSREFS

Sequence in context: A204037 A235411 A238253 * A255087 A137365 A137366

Adjacent sequences:  A035861 A035862 A035863 * A035865 A035866 A035867

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified June 26 06:36 EDT 2022. Contains 354877 sequences. (Running on oeis4.)