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A008531
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Coordination sequence for {A_4}* lattice.
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4
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1, 10, 50, 150, 340, 650, 1110, 1750, 2600, 3690, 5050, 6710, 8700, 11050, 13790, 16950, 20560, 24650, 29250, 34390, 40100, 46410, 53350, 60950, 69240, 78250, 88010, 98550, 109900, 122090, 135150, 149110, 164000, 179850, 196690, 214550, 233460, 253450
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OFFSET
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0,2
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COMMENTS
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Coordination sequence for 4-dimensional cyclotomic lattice Z[zeta_10].
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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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FORMULA
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G.f.: (1 +6*x +16*x^2 +6*x^3 +x^4)/(1-x)^4. - Colin Barker, Sep 21 2012
E.g.f.: 1 + x*(10 + 15*x + 5*x^2)*exp(x). - G. C. Greubel, Nov 10 2019
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MAPLE
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1, seq( 5*k^3+5*k, k=1..40);
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MATHEMATICA
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CoefficientList[Series[(1 +6x +16x^2 +6x^3 +x^4)/(1-x)^4, {x, 0, 50}], x] (* Vincenzo Librandi, Oct 15 2013 *)
LinearRecurrence[{4, -6, 4, -1}, {1, 10, 50, 150, 340}, 40] (* Harvey P. Dale, Jun 09 2016 *)
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PROG
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(Magma) [1] cat [5*n*(1+n^2): n in [1..45]]; // G. C. Greubel, Nov 10 2019
(Sage) [1]+[5*n*(1+n^2) for n in (1..45)] # G. C. Greubel, Nov 10 2019
(GAP) Concatenation([1], List([1..45], n-> 5*n*(1+n^2))); # G. C. Greubel, Nov 10 2019
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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