A183171 Second of two trees generated by the Beatty sequence of sqrt(2).

2, 6, 8, 20, 11, 27, 28, 68, 15, 37, 38, 92, 39, 95, 96, 232, 21, 51, 52, 126, 53, 129, 130, 314, 55, 133, 134, 324, 135, 327, 328, 792, 29, 71, 72, 174, 73, 177, 178, 430, 74, 180, 182, 440, 183, 443, 444, 1072, 77, 187, 188

Offset: 1

Author

Clark Kimberling, Dec 28 2010

Keywords

• nonn
• tabf

Comments

This tree grows from (L(2),U(2))=(2,6). The other tree grows from (L(1),U(1))=(1,3). Here, L and U are Beatty sequences. See the comments at A183170 and A183173.

Examples

			First levels of the tree:
.......................2
.......................6
...............8.................20
..........11.......27........28.......68
........15..37...38..92....39..95...96..232
		

Links

• Ivan Neretin, Table of n, a(n) for n = 1..8192

Crossrefs

Cf. A183170, A183173.

Programs

Mathematica

a = {2, 6}; row = {a[[-1]]}; r = Sqrt[2]; s = r/(r - 1); Do[a = Join[a, row = Flatten[{Floor[#*{r, s}]} & /@ row]], {n, 5}]; a (* Ivan Neretin, May 25 2015 *)

Formula

(See A183170.)