0,2

Used to form integer solutions of Pell equation a^2 - 101*b^2 =-1. See A097741 with A097742.

Tanya Khovanova, Recursive Sequences

Index entries for sequences related to Chebyshev polynomials.

a(n) = 2*201*a(n-1) - a(n-2), n>=1, a(0)=1, a(-1):=0.

a(n) = S(n, 2*201)= U(n, 201), Chebyshev's polynomials of the second kind. See A049310.

G.f.: 1/(1-402*x+x^2).

a(n)= sum((-1)^k*binomial(n-k, k)*402^(n-2*k), k=0..floor(n/2)), n>=0.

a(n) = ((201+20*sqrt(101))^(n+1) - (201-20*sqrt(101))^(n+1))/(40*sqrt(101)), n>=0.

Sequence in context: A104391 A158312 A128767 this_sequence A083815 A165808 A097741

Adjacent sequences: A097737 A097738 A097739 this_sequence A097741 A097742 A097743

nonn,easy

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