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A035720
Coordination sequence for 25-dimensional cubic lattice.
1
1, 50, 1250, 20850, 261250, 2625010, 22049250, 159369650, 1012597250, 5749494450, 29557550050, 139056632050, 604033925250, 2440870708850, 9235138753250, 32899217125170, 110890799925250, 355178132537650
OFFSET
0,2
LINKS
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 (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
G.f.: ((1+x)/(1-x))^25.
n*a(n) = 50*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 21 2018
CROSSREFS
Sequence in context: A250520 A017766 A187459 * A161695 A162205 A162492
KEYWORD
nonn,easy
AUTHOR
Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
EXTENSIONS
Recomputed by N. J. A. Sloane, Nov 25 1998
STATUS
approved