A035728 Coordination sequence for 33-dimensional cubic lattice.

1, 66, 2178, 47938, 792066, 10484034, 115852418, 1099811394, 9160333314, 68031186498, 456334097538, 2793666465090, 15745443972610, 82302279485250, 401492555264130, 1837895885382722, 7932626513059842, 32418928714275906

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 (33, -528, 5456, -40920, 237336, -1107568, 4272048, -13884156, 38567100, -92561040, 193536720, -354817320, 573166440, -818809200, 1037158320, -1166803110, 1166803110, -1037158320, 818809200, -573166440, 354817320, -193536720, 92561040, -38567100, 13884156, -4272048, 1107568, -237336, 40920, -5456, 528, -33, 1).

Formula

G.f.: ((1+x)/(1-x))^33.

n*a(n) = 66*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 23 2018

Crossrefs

Sequence in context: A279446 A271797 A017782 * A114252 A240464 A017729

Adjacent sequences: A035725 A035726 A035727 * A035729 A035730 A035731

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved