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Coordination sequence for 32-dimensional cubic lattice.
1

%I #18 Aug 23 2018 09:04:14

%S 1,64,2048,43712,700416,8991552,96376832,887582144,7172939776,

%T 51697913408,336604997632,2000727369920,10951050137600,55605785375040,

%U 263584490403840,1172818839714752,4921911787962368,19564390413253696

%N Coordination sequence for 32-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A035727/b035727.txt">Table of n, a(n) for n = 0..10000</a>

%H J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://neilsloane.com/doc/Me220.pdf">pdf</a>).

%H Joan Serra-Sagrista, <a href="https://dx.doi.org/10.1016/S0020-0190(00)00119-8">Enumeration of lattice points in l_1 norm</a>, Inf. Proc. Lett. 76 (1-2) (2000) 39-44.

%H <a href="/index/Rec#order_32">Index entries for linear recurrences with constant coefficients</a>, 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).

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

%F n*a(n) = 64*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 23 2018

%K nonn,easy

%O 0,2

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

%E Recomputed by _N. J. A. Sloane_, Nov 25 1998