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A035754 Coordination sequence for C_17 lattice. 1

%I #19 Jun 30 2018 14:05:58

%S 1,578,56066,2220098,48663554,693230658,7094825730,55871829570,

%T 355761664002,1900906442306,8769652761346,35721495233602,

%U 130777539341314,436553052633154,1344455730686722,3857284100508226,10393582407041026,26482855453375042,64180094992435970

%N Coordination sequence for C_17 lattice.

%H Seiichi Manyama, <a href="/A035754/b035754.txt">Table of n, a(n) for n = 0..10000</a>

%H R. Bacher, P. de la Harpe and B. Venkov, <a href="http://archive.numdam.org/ARCHIVE/AIF/AIF_1999__49_3/AIF_1999__49_3_727_0/AIF_1999__49_3_727_0.pdf">Series de croissance et series d'Ehrhart associees aux reseaux 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.

%F G.f.: Sum_{n>=0} a(n)x^(2n) = ( ((1+x)/(1-x))^17 +((1-x)/(1+x))^17 )/2. - _Michael Somos_, Aug 03 2006

%o (PARI) {a(n)=if(n<0, 0, n*=2; polcoeff( ((1+x)/(1-x)+x*O(x^n))^17, n))} /* _Michael Somos_, Aug 03 2006 */

%K nonn,easy

%O 0,2

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

%E Recomputed by _N. J. A. Sloane_, Nov 25 1998

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Last modified April 23 08:33 EDT 2024. Contains 371905 sequences. (Running on oeis4.)