0,2

Used to form integer solutions of Pell equation a^2 - 170*b^2 =-1. See A097772 with A097773.

Tanya Khovanova, Recursive Sequences

Index entries for sequences related to Chebyshev polynomials.

a(n) = 2*339*a(n-1) - a(n-2), n>=1, a(0)=1, a(-1):=0.

a(n) = S(n, 2*339)= U(n, 339), Chebyshev's polynomials of the second kind. See A049310.

G.f.: 1/(1-2*339*x+x^2).

a(n)= sum((-1)^k*binomial(n-k, k)*678^(n-2*k), k=0..floor(n/2)), n>=0.

a(n) = ((339+26*sqrt(170))^(n+1) - (339-26*sqrt(170))^(n+1))/(52*sqrt(170)), n>=0.

Adjacent sequences: A097768 A097769 A097770 this_sequence A097772 A097773 A097774

Sequence in context: A108824 A097773 A031524 this_sequence A121105 A046514 A097772

nonn,easy

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