A035730 Coordination sequence for 35-dimensional cubic lattice.

1, 70, 2450, 57190, 1002050, 14063014, 164736530, 1657410310, 14625892610, 115046039430, 817022990098, 5293365787430, 31558819585090, 174411107278310, 899105953178770, 4346984074475462, 19804773034861570

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 (35, -595, 6545, -52360, 324632, -1623160, 6724520, -23535820, 70607460, -183579396, 417225900, -834451800, 1476337800, -2319959400, 3247943160, -4059928950, 4537567650, -4537567650, 4059928950, -3247943160, 2319959400, -1476337800, 834451800, -417225900, 183579396, -70607460, 23535820, -6724520, 1623160, -324632, 52360, -6545, 595, -35, 1).

Formula

G.f.: ((1+x)/(1-x))^35.

n*a(n) = 70*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 24 2018

Crossrefs

Sequence in context: A067643 A285170 A017786 * A017733 A197192 A213468

Adjacent sequences: A035727 A035728 A035729 * A035731 A035732 A035733

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved