OFFSET
1,3
REFERENCES
"Linear Algebra, Examples and Applications" by Alain M. Robert, World Scientific, 2005, p. 58.
LINKS
Index entries for linear recurrences with constant coefficients, signature (12, -15, 2).
FORMULA
Limit a(n+1)/a(n)=10.6031 as n-> infinity.
a(n)= 12*a(n-1) -15*a(n-2) +2*a(n-3).
MATHEMATICA
M = {{1, 1, 1}, {1, 2, 4}, {1, 3, 9}} v[1] = {1, 0, 0} v[n_] := v[n] = M.v[n - 1] a1 = Table[v[n][[1]], {n, 1, 50}]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Roger L. Bagula and Gary W. Adamson, Sep 11 2006
EXTENSIONS
Definition replaced with generating function by the Assoc. Eds. of the OEIS, Mar 27 2010
STATUS
approved