A035706 - OEIS

%I #31 Aug 19 2018 06:14:14

%S 1,22,242,1782,9922,44726,170610,568150,1690370,4573910,11414898,

%T 26572086,58227906,121023606,240089586,457018518,838478850,1488341910,

%U 2564399090,4300978550,7039035586,11265589302,17664712562,27182654422

%N Coordination sequence for 11-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A035706/b035706.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="http://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_11">Index entries for linear recurrences with constant coefficients</a>, signature (11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1).

%F G.f.: ((1+x)/(1-x))^11.

%F n*a(n) = 22*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 18 2018

%Y Cf. A035748, A266213 (row 11).

%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