| 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 (paoloplava(AT)gmail.com), Aug 28 2008]
| 