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A144138
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Chebyshev polynomial of the second kind U(3,n).
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9
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0, 4, 56, 204, 496, 980, 1704, 2716, 4064, 5796, 7960, 10604, 13776, 17524, 21896, 26940, 32704, 39236, 46584, 54796, 63920, 74004, 85096, 97244, 110496, 124900, 140504, 157356, 175504, 194996, 215880, 238204, 262016, 287364, 314296, 342860, 373104, 405076
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OFFSET
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0,2
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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FORMULA
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G.f.: 4*x*(1 + 10*x + x^2)/(1 - x)^4. - Vincenzo Librandi, May 29 2014
a(n) = 4*n*(2*n^2-1). - Vincenzo Librandi, May 29 2014
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MATHEMATICA
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Table[ChebyshevU[3, n], {n, 0, 100}] (* and *) Table[4n*(2*n^2-1), {n, 0, 100}]
CoefficientList[Series[4 x (1 + 10 x + x^2)/(1 - x)^4, {x, 0, 40}], x] (* Vincenzo Librandi, May 29 2014 *)
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PROG
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(MAGMA) [8*n^3-4*n: n in [0..40]]; // Vincenzo Librandi, May 29 2014
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CROSSREFS
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Cf. A100551, A123027, A144139.
Sequence in context: A168133 A189864 A192845 * A331776 A006592 A201448
Adjacent sequences: A144135 A144136 A144137 * A144139 A144140 A144141
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KEYWORD
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nonn,easy
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AUTHOR
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Vladimir Joseph Stephan Orlovsky, Sep 11 2008
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STATUS
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approved
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