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Coordination sequence for 31-dimensional cubic lattice.
1

%I #18 Aug 23 2018 09:04:22

%S 1,62,1922,39742,616962,7674174,79711106,711494206,5573863426,

%T 38951110206,245955974018,1418166398270,7532156369410,37122578868030,

%U 170856126160770,738378223150142,3010714725097474,11631763900193854

%N Coordination sequence for 31-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A035726/b035726.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_31">Index entries for linear recurrences with constant coefficients</a>, signature (31, -465, 4495, -31465, 169911, -736281, 2629575, -7888725, 20160075, -44352165, 84672315, -141120525, 206253075, -265182525, 300540195, -300540195, 265182525, -206253075, 141120525, -84672315, 44352165, -20160075, 7888725, -2629575, 736281, -169911, 31465, -4495, 465, -31, 1).

%F G.f.: ((1+x)/(1-x))^31.

%F n*a(n) = 62*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