A035730 - OEIS

%I #18 Aug 24 2018 06:36:40

%S 1,70,2450,57190,1002050,14063014,164736530,1657410310,14625892610,

%T 115046039430,817022990098,5293365787430,31558819585090,

%U 174411107278310,899105953178770,4346984074475462,19804773034861570

%N Coordination sequence for 35-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A035730/b035730.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_35">Index entries for linear recurrences with constant coefficients</a>, signature (35, -595, 6545, -52360, 324632, -1623160, 6724520, -23535820, 70607460, -183579396, 417225900, -834451800, 1476337800, -2319959400, 3247943160, -4059928950, 4537567650, -4537567650, 4059928950, -3247943160, 2319959400, -1476337800, 834451800, -417225900, 183579396, -70607460, 23535820, -6724520, 1623160, -324632, 52360, -6545, 595, -35, 1).

%F G.f.: ((1+x)/(1-x))^35.

%F n*a(n) = 70*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 24 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