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A019558
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Coordination sequence for F_4 lattice.
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3
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1, 48, 384, 1392, 3456, 6960, 12288, 19824, 29952, 43056, 59520, 79728, 104064, 132912, 166656, 205680, 250368, 301104, 358272, 422256, 493440, 572208, 658944, 754032, 857856, 970800, 1093248, 1225584
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 16*n*(2 - 3*n + 4*n^2), n >= 1;
G.f.: (1 + 44*x + 198*x^2 + 140*x^3 + x^4)/(1-x)^4 = 1 + 48*x*(x+1)*(3*x+1)/(x-1)^4.
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MATHEMATICA
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Join[{1}, Table[16n (2-3n+4n^2), {n, 30}]] (* Harvey P. Dale, Oct 21 2011 *)
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PROG
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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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mbaake(AT)sunelc3.tphys.physik.uni-tuebingen.de (Michael Baake)
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STATUS
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approved
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