A035713 - OEIS

A035713

Coordination sequence for 18-dimensional cubic lattice.

1, 36, 648, 7788, 70416, 511668, 3116952, 16395516, 76117536, 317222212, 1202893992, 4196289420, 13591279920, 41188096980, 117561917880, 317844953628, 818017823808, 2012724468324, 4752575891144, 10805739370668

(list; graph; refs; listen; history; text; internal format)

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 (18, -153, 816, -3060, 8568, -18564, 31824, -43758, 48620, -43758, 31824, -18564, 8568, -3060, 816, -153, 18, -1).

FORMULA

G.f.: ((1+x)/(1-x))^18.

n*a(n) = 36*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 20 2018

CROSSREFS

Sequence in context: A323980 A287990 A283630 * A035478 A250624 A368062

Adjacent sequences: A035710 A035711 A035712 * A035714 A035715 A035716

KEYWORD

nonn,easy

AUTHOR

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

EXTENSIONS

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

STATUS

approved

Note: This service is not intended for secure transactions such as banking, social media, email, or purchasing. Use at your own risk. We assume no liability whatsoever for broken pages.

Pfad - The Proxy pFad of © 2024 Garber Painting. All rights reserved.