0,3

See the comment in A099279. This is example a=9.

Index entries for sequences related to Chebyshev polynomials.

a(n)= A099371(n)^2.

a(n)= 82*a(n-1) + 82*a(n-2) - a(n-3), n>=3; a(0)=0, a(1)=1, a(2)=81.

a(n)= 83*a(n-1) - a(n-2) - 2*(-1)^n, n>=2; a(0)=0, a(1)=1.

a(n)= 2*(T(n, 83/2)-(-1)^n)/85 with twice the Chebyshev's polynomials of the first kind: 2*T(n, 83/2)=A099373(n).

G.f.: x*(1-x)/((1-83*x+x^2)*(1+x)) = x*(1-x)/(1-82*x-82*x^2+x^3).

a(n)=-(2/85)*(-1)^n+(1/85)*[83/2+(9/2)*sqrt(85)]^n+(1/85)*[83/2-(9/2)*sqrt(85)]^n, with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 28 2008]

Sequence in context: A036354 A016948 A089683 this_sequence A036515 A046172 A123847

Adjacent sequences: A099369 A099370 A099371 this_sequence A099373 A099374 A099375

nonn,easy

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