OFFSET
0,2
COMMENTS
The Lucas numbers have 1 = phi - 1/phi where this sequence has k and the ratios of the Lucas numbers converge to phi.
FORMULA
a(0) = -1, a(1) = 2, a(n+2) = floor[k*a(n+1)+a(n)], where k = Pi - 1/Pi = 2.82328276....
Lim(n->inf) a(n)/a(n-1) = Pi.
EXAMPLE
a(5) = floor[(Pi - 1/Pi)*40+13] = 125.
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Gary W. Adamson, Jun 29 2003
EXTENSIONS
Edited and extended by David Wasserman, Feb 01 2005
STATUS
approved