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A035869 Coordination sequence for A_43 lattice. 0
1, 1892, 895862, 189126212, 22576717592, 1737436100444, 93714991099466, 3755363400343676, 116715616046942726, 2908413970471697116, 59664124959218615418, 1029601387463447404860, 15216687141326909030760 (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 (43, -903, 12341, -123410, 962598, -6096454, 32224114, -145008513, 563921995, -1917334783, 5752004349, -15338678264, 36576848168, -78378960360, 151532656696, -265182149218, 421171648758, -608359048206, 800472431850, -960566918220, 1052049481860, -1052049481860, 960566918220, -800472431850, 608359048206, -421171648758, 265182149218, -151532656696, 78378960360, -36576848168, 15338678264, -5752004349, 1917334783, -563921995, 145008513, -32224114, 6096454, -962598, 123410, -12341, 903, -43, 1).

FORMULA

Sum_{d=1..43} C(44, d)*C(m/2-1, d-1)*C(43-d+m/2, m/2), where norm m is always even.

CROSSREFS

Sequence in context: A020321 A177086 A254285 * A045198 A020417 A218848

Adjacent sequences:  A035866 A035867 A035868 * A035870 A035871 A035872

KEYWORD

nonn,easy

AUTHOR

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

EXTENSIONS

a(10) corrected, a(11)-a(12) added by Ray Chandler, Jan 19 2016

STATUS

approved

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Last modified June 25 08:25 EDT 2022. Contains 354835 sequences. (Running on oeis4.)