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%I #24 Aug 31 2018 09:42:28
%S 1,96,4608,147488,3542016,68095200,1091884544,15023056032,
%T 181095585792,1943370847584,18801236605440,165673550159136,
%U 1341056098444288,10043368807877088,70018291338395136
%N Coordination sequence for 48-dimensional cubic lattice.
%H Seiichi Manyama, <a href="/A035743/b035743.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_48">Index entries for linear recurrences with constant coefficients</a>, signature (48, -1128, 17296, -194580, 1712304, -12271512, 73629072, -377348994, 1677106640, -6540715896, 22595200368, -69668534468, 192928249296, -482320623240, 1093260079344, -2254848913647, 4244421484512, -7309837001104, 11541847896480, -16735679449896, 22314239266528, -27385657281648, 30957699535776, -32247603683100, 30957699535776, -27385657281648, 22314239266528, -16735679449896, 11541847896480, -7309837001104, 4244421484512, -2254848913647, 1093260079344, -482320623240, 192928249296, -69668534468, 22595200368, -6540715896, 1677106640, -377348994, 73629072, -12271512, 1712304, -194580, 17296, -1128, 48, -1).
%F G.f.: ((1+x)/(1-x))^48.
%F n*a(n) = 96*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 31 2018
%t CoefficientList[Series[((1 + x)/(1 - x))^48,{x,0,50}],x] (* _Stefano Spezia_, Aug 31 2018 *)
%o (PARI) x='x+O('x^99); Vec(((1+x)/(1-x))^48) \\ _Altug Alkan_, Aug 31 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
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