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A035739 Coordination sequence for 44-dimensional cubic lattice. 2

%I #19 Aug 28 2018 10:45:16

%S 1,88,3872,113608,2501312,44091256,648339296,8182044904,90488748416,

%T 891142686104,7914446636448,64044689834760,476256430985280,

%U 3278081347299000,21013302552438240,126119045475296808,712041389847515904

%N Coordination sequence for 44-dimensional cubic lattice.

%H Seiichi Manyama, <a href="/A035739/b035739.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_44">Index entries for linear recurrences with constant coefficients</a>, signature (44, -946, 13244, -135751, 1086008, -7059052, 38320568, -177232627, 708930508, -2481256778, 7669339132, -21090682613, 51915526432, -114955808528, 229911617056, -416714805914, 686353797976, -1029530696964, 1408831480056, -1761039350070, 2012616400080, -2104098963720, 2012616400080, -1761039350070, 1408831480056, -1029530696964, 686353797976, -416714805914, 229911617056, -114955808528, 51915526432, -21090682613, 7669339132, -2481256778, 708930508, -177232627, 38320568, -7059052, 1086008, -135751, 13244, -946, 44, -1).

%F G.f.: ((1+x)/(1-x))^44.

%F n*a(n) = 88*a(n-1) + (n-2)*a(n-2) for n > 1. - _Seiichi Manyama_, Aug 28 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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Last modified April 23 14:49 EDT 2024. Contains 371914 sequences. (Running on oeis4.)