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A057077 Periodic sequence 1,1,-1,-1...; expansion of (1+x)/(1+x^2). +0
9
1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1 (list; graph; listen)
OFFSET

0,1

LINKS

Index entries for sequences related to Chebyshev polynomials.

FORMULA

a(n)=S(n, 0)+S(n-1, 0) = S(2*n, sqrt(2)); S(n, x) := U(n, x/2), Chebyshev polynomials of 2nd kind, A049310. S(n, 0)=A056594.

G.f.: (1+x)/(1+x^2).

a(n)=cos(n*Pi/2)+sin(n*Pi/2) with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 12 2006

CROSSREFS

|a(n)|=A000012. Cf. A049310.

Adjacent sequences: A057074 A057075 A057076 this_sequence A057078 A057079 A057080

Sequence in context: A098417 A076479 A033999 this_sequence A063747 A077008 A087960

KEYWORD

easy,sign

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Aug 04 2000

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Last modified May 16 19:35 EDT 2008. Contains 139737 sequences.


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