OFFSET
0,3
COMMENTS
A Binet sequence solution with ratio =(2+Sqrt[3])/Sqrt[3] ( called a trident sequence after the graphic it comes from).
MATHEMATICA
Needs["DiscreteMath`RSolve`"]; Clear[f]; f[n_Integer] = Module[{a}, a[n] /. RSolve[{a[n] == 2*a[n - 1] + a[n - 2]/3, a[0] == 1, a[1] == 1}, a[n], n][[1]] // Simplify] // ToRadicals Table[Floor[N[f[n]]], {n, 0, 25}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Roger L. Bagula, Apr 03 2006
EXTENSIONS
Edited by N. J. A. Sloane, May 04 2006
STATUS
approved