login
A167964
Signature sequence of phi^8 = 0.021286236252208..., where phi is A094214.
1
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1
OFFSET
1,48
REFERENCES
Clark Kimberling, "Fractal Sequences and Interspersions," Ars Combinatoria 45 (1997) 157-168.
MATHEMATICA
terms = 105; m = Ceiling[Sqrt[terms]]; s0 = {}; While[s = (Table[i + j*x, {i, 1, m}, {j, 1, m}] // Flatten // SortBy[#, N[# /. x -> 1/GoldenRatio^8] &] &)[[1 ;; terms]] /. x -> 0; s != s0, s0 = s; m = 2 m]; s (* Jean-François Alcover, Jan 08 2017 *)
CROSSREFS
Sequence in context: A063435 A262352 A372584 * A280193 A327767 A228826
KEYWORD
nonn
AUTHOR
Casey Mongoven, Nov 15 2009
STATUS
approved