OFFSET
0,2
COMMENTS
A140780 has the same recursion rule but starts (1, 3, 29,...).
a(n)/a(n-1) tends to 2*sqrt(6) + 5 = 9.8989794855...
LINKS
FORMULA
a(n) = 10*a(n-1) - a(n-2); n>1; given a(0) = 1, a(1) = 2. a(n) = term (1,1) in X^n, where X = the 2x2 matrix [2,3; 5,8].
EXAMPLE
a(5) = 18422 = 10*a(4) - a(3) = 10*1861 - 188.
a(3) = 188 = term (1,1) of X^3.
MATHEMATICA
LinearRecurrence[{10, -1}, {1, 2}, 30] (* Amiram Eldar, Dec 04 2018 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Gary W. Adamson, May 30 2008
EXTENSIONS
More terms from Amiram Eldar, Dec 04 2018
STATUS
approved