0,2

Used to form integer solutions of Pell equation a^2 - 26*b^2 =-1. See A097726 with A097727.

Tanya Khovanova, Recursive Sequences

Index entries for sequences related to Chebyshev polynomials.

a(n) = 102*a(n-1) - a(n-2), n>=1, a(0)=1, a(-1):=0.

a(n) = S(n, 2*51)= U(n, 51), Chebyshev's polynomials of the second kind. See A049310.

G.f.: 1/(1-102*x+x^2).

a(n)= sum((-1)^k*binomial(n-k, k)*102^(n-2*k), k=0..floor(n/2)), n>=0.

a(n) = ((51+10*sqrt(26))^(n+1) - (51-10*sqrt(26))^(n+1))/(20*sqrt(26)).

Sequence in context: A088805 A163435 A030512 this_sequence A129751 A094095 A074675

Adjacent sequences: A097722 A097723 A097724 this_sequence A097726 A097727 A097728

nonn,easy

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