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A035797 Coordination sequence for lattice D*_24 (with edges defined by l_1 norm = 1). 0

%I #16 Sep 05 2023 15:03:50

%S 1,48,1152,18448,221952,2141808,17282432,120037968,733189632,

%T 4003707568,19804348032,89694733968,375299336448,1461956877552,

%U 5337746984832,18374985313488,59954658388992,186275979152688,553339789891712,1577125278862608,4326312626433792

%N Coordination sequence for lattice D*_24 (with edges defined by l_1 norm = 1).

%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_24">Index entries for linear recurrences with constant coefficients</a>, signature (24, -276, 2024, -10626, 42504, -134596, 346104, -735471, 1307504, -1961256, 2496144, -2704156, 2496144, -1961256, 1307504, -735471, 346104, -134596, 42504, -10626, 2024, -276, 24, -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=24.

%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 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)