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Coordination sequence for 10-dimensional cubic lattice.
5

%I #23 Jun 06 2018 14:37:04

%S 1,20,200,1340,6800,28004,97880,299660,822560,2060980,4780008,

%T 10377180,21278640,41517060,77548920,139380012,242080320,407782740,

%U 668274440,1068305020,1669752016,2556801700,3842321560,5675620300

%N Coordination sequence for 10-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A008420/b008420.txt">Table of n, a(n) for n = 0..10000</a> (terms 0..1000 from T. D. Noe)

%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 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

%F G.f.: ((1+x)/(1-x))^10.

%F n*a(n) = 20*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Jun 06 2018

%t CoefficientList[Series[((1 + x)/(1 - x))^10, {x, 0, 30}], x] (* _Wesley Ivan Hurt_, Apr 18 2017 *)

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_