A035727 Coordination sequence for 32-dimensional cubic lattice.

1, 64, 2048, 43712, 700416, 8991552, 96376832, 887582144, 7172939776, 51697913408, 336604997632, 2000727369920, 10951050137600, 55605785375040, 263584490403840, 1172818839714752, 4921911787962368, 19564390413253696

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 (32, -496, 4960, -35960, 201376, -906192, 3365856, -10518300, 28048800, -64512240, 129024480, -225792840, 347373600, -471435600, 565722720, -601080390, 565722720, -471435600, 347373600, -225792840, 129024480, -64512240, 28048800, -10518300, 3365856, -906192, 201376, -35960, 4960, -496, 32, -1).

Formula

G.f.: ((1+x)/(1-x))^32.

n*a(n) = 64*a(n-1) + (n-2)*a(n-2) for n > 1. - Seiichi Manyama, Aug 23 2018

Crossrefs

Sequence in context: A022085 A017780 A324492 * A035801 A239739 A017727

Adjacent sequences: A035724 A035725 A035726 * A035728 A035729 A035730

Keyword

nonn,easy

Author

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

Extensions

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

Status

approved