A035736 Coordination sequence for 41-dimensional cubic lattice.

1, 82, 3362, 91922, 1886082, 30986898, 424744994, 4997717714, 51545165314, 473520842194, 3924107038242, 29639860428690, 205809135461250, 1323260582502930, 7926934099341090, 44480732247900498, 234899820107413506

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 (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

G.f.: ((1+x)/(1-x))^41.

n*a(n) = 82*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 27 2018

Crossrefs

Sequence in context: A232904 A230395 A017798 * A017745 A217676 A203169

Adjacent sequences: A035733 A035734 A035735 * A035737 A035738 A035739

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved