OFFSET
0,2
COMMENTS
LINKS
FORMULA
a(n)= S(n, 627)=U(n, 627/2)= S(2*n+1, sqrt(629))/sqrt(629) with S(n, x)=U(n, x/2) Chebyshev's polynomials of the second kind, A049310. S(-1, x)= 0 = U(-1, x).
a(n)=627*a(n-1)-a(n-2), n >= 1; a(0)=1, a(1)=627; a(-1):=0.
a(n)=(ap^(n+1) - am^(n+1))/(ap-am) with ap := (627+25*sqrt(629))/2 and am := (627-25*sqrt(629))/2 = 1/ap.
G.f.: 1/(1-627*x+x^2).
MATHEMATICA
LinearRecurrence[{627, -1}, {1, 627}, 20] (* Harvey P. Dale, Aug 28 2012 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Sep 10 2004
STATUS
approved