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A035867
Coordination sequence for A_41 lattice.
0
1, 1722, 742182, 142663682, 15514489872, 1088445250494, 53568798667706, 1960718646502086, 55727804060652486, 1271609411092944406, 23921455510392255018, 379124273790705666510, 5154221723429907663360
OFFSET
0,2
LINKS
R. Bacher, P. de la Harpe and B. Venkov, Séries de croissance et séries d'Ehrhart associées aux réseaux de racines, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (pdf).
Joan Serra-Sagrista, Enumeration of lattice points in l_1 norm, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.
Index entries for linear recurrences with constant coefficients, signature (41, -820, 10660, -101270, 749398, -4496388, 22481940, -95548245, 350343565, -1121099408, 3159461968, -7898654920, 17620076360, -35240152720, 63432274896, -103077446706, 151584480450, -202112640600, 244662670200, -269128937220, 269128937220, -244662670200, 202112640600, -151584480450, 103077446706, -63432274896, 35240152720, -17620076360, 7898654920, -3159461968, 1121099408, -350343565, 95548245, -22481940, 4496388, -749398, 101270, -10660, 820, -41, 1).
FORMULA
Sum_{d=1..41} C(42, d)*C(m/2-1, d-1)*C(41-d+m/2, m/2), where norm m is always even.
CROSSREFS
Sequence in context: A200958 A048958 A145648 * A271045 A031814 A020427
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