OFFSET
0,2
COMMENTS
LINKS
FORMULA
a(n) = 2*393*a(n-1) - a(n-2), n>=1, a(0)=1, a(-1):=0.
a(n) = S(n, 2*393)= U(n, 393), Chebyshev's polynomials of the second kind. See A049310.
G.f.: 1/(1-2*393*x+x^2).
a(n)= sum((-1)^k*binomial(n-k, k)*786^(n-2*k), k=0..floor(n/2)), n>=0.
a(n) = ((393+28*sqrt(197))^(n+1) - (393-28*sqrt(197))^(n+1))/(56*sqrt(197)), n>=0.
MATHEMATICA
LinearRecurrence[{786, -1}, {1, 786}, 30] (* or *) CoefficientList[ Series[ 1/(1-786x+x^2), {x, 0, 30}], x] (* Harvey P. Dale, Jun 15 2011 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Aug 31 2004
STATUS
approved