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A008401 Coordination sequence for {E_6}* lattice. 1

%I

%S 1,54,828,5202,20376,60030,146484,312858,605232,1084806,1830060,

%T 2938914,4530888,6749262,9763236,13770090,18997344,25704918,34187292,

%U 44775666,57840120,73791774,93084948

%N Coordination sequence for {E_6}* lattice.

%D M. O'Keeffe, Coordination sequences for lattices, Zeit. f. Krist., 210 (1995), 905-908.

%H T. D. Noe, <a href="/A008401/b008401.txt">Table of n, a(n) for n = 0..1000</a>

%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 M. O'Keeffe, <a href="/A008527/a008527.pdf">Coordination sequences for lattices</a>, Zeit. f. Krist., 210 (1995), 905-908. [Annotated scanned copy]

%F a(n) = 6*n*(3*n^4+5*n^2+1), n>0.

%p G.f.: (1+48*x+519*x^2+1024*x^3+519*x^4+48*x^5+x^6)/(1-x)^6;

%t Join[{1},Table[18 n^5+30 n^3+6 n,{n,30}]] _Harvey P. Dale_, May 16 2012

%K nonn,nice

%O 0,2

%A _N. J. A. Sloane_.

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Last modified March 23 05:36 EDT 2019. Contains 321422 sequences. (Running on oeis4.)