A183172 Ordering of the numbers in set S generated by these rules: 1 is in S, and if n is in S then floor(r*n) and floor(s*n) are in S, where r=sqrt(2) and s=r/(r-1).

1, 3, 4, 5, 7, 9, 10, 12, 13, 14, 16, 17, 18, 19, 22, 23, 24, 25, 26, 30, 31, 32, 33, 34, 35, 36, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 54, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70, 75, 76, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 93

Offset: 1

Author

Clark Kimberling, Dec 28 2010

Keywords

• nonn

Comments

The sequence results from flattening and sorting the tree at A183170. Complement of A183173, obtained from the tree at A183171.

Links

• Ivan Neretin, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A183170, A183173.

Programs

Mathematica

nn=100; t={1}; r=Sqrt[2]; s=r/(r-1); t0=t; While[t=Select[Union[t, Floor[r*t], Floor[s*t]], #<=nn&]; t0 != t, t0=t]; t

Formula

See A183170.