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A035804 Coordination sequence for lattice D*_38 (with edges defined by l_1 norm = 1). 0

%I #11 Sep 05 2023 15:10:40

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

%T 239933990060,1846012202088,12950575751748,83558656596144,

%U 499454941121244,2782948528883448,14533133495314548,71467464065517120

%N Coordination sequence for lattice D*_38 (with edges defined by l_1 norm = 1).

%C Starts to differ from A035733 at a(19). [From _R. J. Mathar_, Oct 24 2008]

%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_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 a(m)=add(2^k*binomial(n, k)*binomial(m-1, k-1), k=0..n)+2^n*binomial((n+2*m)/2-1, n-1); with n=38.

%K nonn

%O 0,2

%A _N. J. A. Sloane_, J. Serra-Sagrista (jserra(AT)ccd.uab.es)

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Last modified April 24 13:16 EDT 2024. Contains 371951 sequences. (Running on oeis4.)