0,2

Used to form integer solutions of Pell equation a^2 - 82*b^2 =-1. See A097738 with A097739.

Tanya Khovanova, Recursive Sequences

Index entries for sequences related to Chebyshev polynomials.

a(n) = 2*163*a(n-1) - a(n-2), n>=1, a(0)=1, a(-1):=0.

a(n) = S(n, 2*163)= U(n, 163), Chebyshev's polynomials of the second kind. See A049310.

a(n) = ((129+16*sqrt(65))^(n+1) - (129-16*sqrt(65))^(n+1))/(32*sqrt(65)), n>=0.

a(n)= sum((-1)^k*binomial(n-k, k)*326^(n-2*k), k=0..floor(n/2)), n>=0.

G.f.: 1/(1-326*x+x^2).

a(n) = ((163+18*sqrt(82))^(n+1) - (163-18*sqrt(82))^(n+1))/(36*sqrt(82)), n>=0.

Sequence in context: A138816 A138817 A158271 this_sequence A126311 A097738 A138078

Adjacent sequences: A097734 A097735 A097736 this_sequence A097738 A097739 A097740

nonn,easy

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