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A020541 4th Chebyshev polynomial (second kind) evaluated at powers of 2. +0
1
5, 209, 3905, 64769, 1045505, 16764929, 268386305, 4294770689, 68718690305, 1099508482049, 17592173461505, 281474926379009, 4503599426043905, 72057593232621569, 1152921501385621505 (list; graph; listen)
OFFSET

0,1

LINKS

Index entries for sequences related to Chebyshev polynomials.

FORMULA

16^(n+1) - 3*4^(n+1) + 1.

MAPLE

with(orthopoly):seq(U(4, 2^i), i=0..24);

MATHEMATICA

Table[ChebyshevU[4, 2^n], {n, 1, 40}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 03 2009]

CROSSREFS

Sequence in context: A162087 A068531 A144139 this_sequence A027682 A006413 A055316

Adjacent sequences: A020538 A020539 A020540 this_sequence A020542 A020543 A020544

KEYWORD

nonn,new

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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