A035720 Coordination sequence for 25-dimensional cubic lattice.

1, 50, 1250, 20850, 261250, 2625010, 22049250, 159369650, 1012597250, 5749494450, 29557550050, 139056632050, 604033925250, 2440870708850, 9235138753250, 32899217125170, 110890799925250, 355178132537650

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

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

Adjacent sequences: A035717 A035718 A035719 * A035721 A035722 A035723

Keyword

nonn,easy

Author

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

Extensions

Recomputed by N. J. A. Sloane, Nov 25 1998

Status

approved