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A035733 Coordination sequence for 38-dimensional cubic lattice. 2

%I #20 Nov 25 2022 11:34:21

%S 1,76,2888,73188,1392016,21202556,269493720,2941076500,28142347040,

%T 239933990060,1846012202088,12950575751748,83558656596144,

%U 499454941121244,2782948528883448,14533133495314548,71467464065517120

%N Coordination sequence for 38-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A035733/b035733.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_38">Index entries for linear recurrences with constant coefficients</a>, signature (38, -703, 8436, -73815, 501942, -2760681, 12620256, -48903492, 163011640, -472733756, 1203322288, -2707475148, 5414950296, -9669554100, 15471286560, -22239974430, 28781143380, -33578000610, 35345263800, -33578000610, 28781143380, -22239974430, 15471286560, -9669554100, 5414950296, -2707475148, 1203322288, -472733756, 163011640, -48903492, 12620256, -2760681, 501942, -73815, 8436, -703, 38, -1).

%F G.f.: ((1+x)/(1-x))^38.

%F n*a(n) = 76*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 25 2018

%t CoefficientList[Series[((1+x)/(1-x))^38,{x,0,30}],x] (* _Harvey P. Dale_, Nov 25 2022 *)

%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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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)