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A035851 Coordination sequence for A_25 lattice. 0
1, 650, 105950, 7746050, 323371100, 8818775030, 171332460650, 2520031983950, 29356499303300, 280442899885850, 2258408187518990, 15677116400829650, 95542687574917700, 519065738821138550, 2546320423186207850 (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..14.

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 (25, -300, 2300, -12650, 53130, -177100, 480700, -1081575, 2042975, -3268760, 4457400, -5200300, 5200300, -4457400, 3268760, -2042975, 1081575, -480700, 177100, -53130, 12650, -2300, 300, -25, 1).

FORMULA

Sum_{d=1..25} C(26, d)*C(m/2-1, d-1)*C(25-d+m/2, m/2), where norm m is always even.

CROSSREFS

Sequence in context: A158639 A162025 A251861 * A229797 A110836 A252388

Adjacent sequences:  A035848 A035849 A035850 * A035852 A035853 A035854

KEYWORD

nonn,easy

AUTHOR

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

STATUS

approved

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Last modified May 28 09:09 EDT 2022. Contains 354112 sequences. (Running on oeis4.)