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A035809 Coordination sequence for lattice D*_48 (with edges defined by l_1 norm = 1). 0

%I

%S 1,96,4608,147488,3542016,68095200,1091884544,15023056032,

%T 181095585792,1943370847584,18801236605440,165673550159136,

%U 1341056098444288,10043368807877088,70018291338395136,456821317532555680

%N Coordination sequence for lattice D*_48 (with edges defined by l_1 norm = 1).

%C Starts to differ from A035743 at a(24). - _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_48">Index entries for linear recurrences with constant coefficients</a>, signature (48, -1128, 17296, -194580, 1712304, -12271512, 73629072, -377348994, 1677106640, -6540715896, 22595200368, -69668534468, 192928249296, -482320623240, 1093260079344, -2254848913647, 4244421484512, -7309837001104, 11541847896480, -16735679449896, 22314239266528, -27385657281648, 30957699535776, -32247603683100, 30957699535776, -27385657281648, 22314239266528, -16735679449896, 11541847896480, -7309837001104, 4244421484512, -2254848913647, 1093260079344, -482320623240, 192928249296, -69668534468, 22595200368, -6540715896, 1677106640, -377348994, 73629072, -12271512, 1712304, -194580, 17296, -1128, 48, -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=48.

%K nonn

%O 0,2

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

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Last modified December 6 03:19 EST 2021. Contains 349562 sequences. (Running on oeis4.)