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A008401
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Coordination sequence for {E_6}* lattice.
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1
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1, 54, 828, 5202, 20376, 60030, 146484, 312858, 605232, 1084806, 1830060, 2938914, 4530888, 6749262, 9763236, 13770090, 18997344, 25704918, 34187292, 44775666, 57840120, 73791774, 93084948
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history;
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OFFSET
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0,2
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REFERENCES
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M. O'Keeffe, Coordination sequences for lattices, Zeit. f. Krist., 210 (1995), 905-908.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..1000
J. H. Conway and N. J. A. Sloane, Low-Dimensional Lattices VII: Coordination Sequences, Proc. Royal Soc. London, A453 (1997), 2369-2389 (Abstract, pdf, ps).
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FORMULA
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18*n^5 + 30*n^3 + 6*n.
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MAPLE
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G.f.: (1+48*x+519*x^2+1024*x^3+519*x^4+48*x^5+x^6)/(1-x)^6;
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MATHEMATICA
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Join[{1}, Table[18 n^5+30 n^3+6 n, {n, 30}]] Harvey P. Dale, May 16 2012
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CROSSREFS
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Sequence in context: A139178 A157094 A093972 * A107420 A160345 A121625
Adjacent sequences: A008398 A008399 A008400 * A008402 A008403 A008404
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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