0,2

Used to form integer solutions of Pell equation a^2 - 122*b^2 =-1. See A097766 with A097767.

Tanya Khovanova, Recursive Sequences

Index entries for sequences related to Chebyshev polynomials.

a(n) = 2*243*a(n-1) - a(n-2), n>=1, a(0)=1, a(-1):=0.

a(n) = S(n, 2*243)= U(n, 243), Chebyshev's polynomials of the second kind. See A049310.

G.f.: 1/(1-486*x+x^2).

a(n)= sum((-1)^k*binomial(n-k, k)*486^(n-2*k), k=0..floor(n/2)), n>=0.

a(n) = ((243+22*sqrt(122))^(n+1) - (243-22*sqrt(122))^(n+1))/(44*sqrt(122)), n>=0.

Adjacent sequences: A097762 A097763 A097764 this_sequence A097766 A097767 A097768

Sequence in context: A031520 A130181 A128969 this_sequence A124667 A142540 A048424

nonn,easy

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Aug 31 2004