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A035727
Coordination sequence for 32-dimensional cubic lattice.
1
1, 64, 2048, 43712, 700416, 8991552, 96376832, 887582144, 7172939776, 51697913408, 336604997632, 2000727369920, 10951050137600, 55605785375040, 263584490403840, 1172818839714752, 4921911787962368, 19564390413253696
OFFSET
0,2
LINKS
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
KEYWORD
nonn,easy
AUTHOR
Joan Serra-Sagrista (jserra(AT)ccd.uab.es)
EXTENSIONS
Recomputed by N. J. A. Sloane, Nov 25 1998
STATUS
approved