0,3

See the comment in A099279. This is example a=8.

Index entries for sequences related to Chebyshev polynomials.

a(n)= A041025(n-1)^2, n>=1, a(0)=0.

a(n)= 65*a(n-1) + 65*a(n-2) - a(n-3), n>=3; a(0)=0, a(1)=1, a(2)=64.

a(n)= 66*a(n-1) - a(n-2) - 2*(-1)^n, n>=2; a(0)=0, a(1)=1.

a(n)= (T(n, 33)-(-1)^n)/34 with the Chebyshev's polynomials of the first kind: T(n, 33)=A099370(n).

G.f.: x*(1-x)/((1-66*x+x^2)*(1+x)) = x*(1-x)/(1-65*x-65*x^2+x^3).

a(n)=-(1/34)*(-1)^n+(1/68)*[33+8*sqrt(17)]^n+(1/68)*[33-8*sqrt(17)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 28 2008]

Sequence in context: A016746 A089357 A144320 this_sequence A146496 A058874 A067821

Adjacent sequences: A099366 A099367 A099368 this_sequence A099370 A099371 A099372

nonn,easy

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 18 2004