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A144130
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a(n) = ChebyshevT(4, n).
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11
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1, 1, 97, 577, 1921, 4801, 10081, 18817, 32257, 51841, 79201, 116161, 164737, 227137, 305761, 403201, 522241, 665857, 837217, 1039681, 1276801, 1552321, 1870177, 2234497, 2649601, 3120001, 3650401, 4245697, 4910977, 5651521
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refs;
listen;
history;
text;
internal format)
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OFFSET
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0,3
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).
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FORMULA
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From Paul Barry, Nov 17 2009: (Start)
G.f.: (1-4x+102x^2+92x^3+x^4)/(1-x)^5;
a(n) = 8*n^4-8*n^2+1. (End)
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MAPLE
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A144130:=n->8*n^4-8*n^2+1: seq(A144130(n), n=0..60); # Wesley Ivan Hurt, Apr 10 2017
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MATHEMATICA
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Table[ChebyshevT[4, n], {n, 0, 50}] (* Vincenzo Librandi, May 30 2014 *)
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PROG
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(MAGMA) [8*n^4-8*n^2+1: n in [0..30]]; // Vincenzo Librandi, May 30 2014
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CROSSREFS
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Cf. A144129.
Sequence in context: A142574 A204710 A142765 * A144131 A130833 A130873
Adjacent sequences: A144127 A144128 A144129 * A144131 A144132 A144133
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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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EXTENSIONS
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Changed offset from 1 to 0 by Vincenzo Librandi, May 30 2014
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STATUS
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approved
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