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A035850 Coordination sequence for A_24 lattice. 0

%I #16 Sep 06 2023 01:59:03

%S 1,600,90300,6100200,235597650,5953712520,107392877100,1469778991800,

%T 15969368635950,142638039461400,1076681464768860,7023070170402600,

%U 40317756506959050,206818794600952200,960154451013729900

%N Coordination sequence for A_24 lattice.

%H R. Bacher, P. de la Harpe and B. Venkov, <a href="http://dx.doi.org/10.1016/S0764-4442(97)83542-2">Séries de croissance et séries d'Ehrhart associées aux réseaux de racines</a>, C. R. Acad. Sci. Paris, 325 (Series 1) (1997), 1137-1142.

%H J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (<a href="http://neilsloane.com/doc/Me220.pdf">pdf</a>).

%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 Sum_{d=1..24} C(25, d)*C(m/2-1, d-1)*C(24-d+m/2, m/2), where norm m is always even.

%K nonn,easy

%O 0,2

%A Joan Serra-Sagrista (jserra(AT)ccd.uab.es)

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Last modified April 19 09:23 EDT 2024. Contains 371782 sequences. (Running on oeis4.)