A035741 Coordination sequence for 46-dimensional cubic lattice.

1, 92, 4232, 129812, 2987792, 55053260, 846141848, 11160045188, 128975126048, 1327092434748, 12312430500520, 104062494360052, 808072815510832, 5806722035765932, 38851092934042552, 243319195759791460, 1433080081936088128

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 (46, -1035, 15180, -163185, 1370754, -9366819, 53524680, -260932815, 1101716330, -4076350421, 13340783196, -38910617655, 101766230790, -239877544005, 511738760544, -991493848554, 1749695026860, -2818953098830, 4154246671960, -5608233007146, 6943526580276, -7890371113950, 8233430727600, -7890371113950, 6943526580276, -5608233007146, 4154246671960, -2818953098830, 1749695026860, -991493848554, 511738760544, -239877544005, 101766230790, -38910617655, 13340783196, -4076350421, 1101716330, -260932815, 53524680, -9366819, 1370754, -163185, 15180, -1035, 46, -1).

Formula

G.f.: ((1+x)/(1-x))^46.

n*a(n) = 92*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 29 2018

Mathematica

CoefficientList[Series[((1+x)/(1-x))^46, {x, 0, 20}], x] (* Harvey P. Dale, Aug 11 2013 *)

Crossrefs

Sequence in context: A166824 A248451 A017808 * A035808 A017755 A157838

Adjacent sequences: A035738 A035739 A035740 * A035742 A035743 A035744

Keyword

nonn,easy

Author

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

Extensions

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

Formula clarified by Harvey P. Dale, Aug 11 2013

Status

approved