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A035807 Coordination sequence for lattice D*_44 (with edges defined by l_1 norm = 1). 0

%I

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

%T 891142686104,7914446636448,64044689834760,476256430985280,

%U 3278081347299000,21013302552438240,126119045475296808,712041389847515904

%N Coordination sequence for lattice D*_44 (with edges defined by l_1 norm = 1).

%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_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 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=44.

%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 21 21:34 EST 2022. Contains 350480 sequences. (Running on oeis4.)