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A035808 Coordination sequence for lattice D*_46 (with edges defined by l_1 norm = 1). 0

%I

%S 1,92,4232,129812,2987792,55053260,846141848,11160045188,128975126048,

%T 1327092434748,12312430500520,104062494360052,808072815510832,

%U 5806722035765932,38851092934042552,243319195759791460,1433080081936088128

%N Coordination sequence for lattice D*_46 (with edges defined by l_1 norm = 1).

%C Starts to differ from A035741 at a(23). - _R. J. Mathar_, Oct 24 2008

%D J. Serra-Sagrista, Enumeration of lattice points in l_1 norm, Information Processing Letters, 76, no. 1-2 (2000), 39-44.

%H <a href="/index/Rec#order_46">Index entries for linear recurrences with constant coefficients</a>, signature (46, -1035, 15180, -163185, 1370754, -9366819, 53524680, -260932815, 1101716330, -4076350421, 13340783196, -38910617655, 101766230790, -239877544005, 511738760544, -991493848554, 1749695026860, -2818953098830, 4154246671960, -5608233007146, 6943526580276, -7890371113950, 8233430727600, -7890371113950, 6943526580276, -5608233007146, 4154246671960, -2818953098830, 1749695026860, -991493848554, 511738760544, -239877544005, 101766230790, -38910617655, 13340783196, -4076350421, 1101716330, -260932815, 53524680, -9366819, 1370754, -163185, 15180, -1035, 46, -1).

%F a(m) = (Sum_{k=0..n} 2^k*binomial(n, k)*binomial(m-1, k-1)) + 2^n*binomial((n+2*m)/2-1, n-1); with n=46.

%K nonn

%O 0,2

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

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Last modified January 20 00:06 EST 2022. Contains 350467 sequences. (Running on oeis4.)