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

1,1

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.

Links

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

Formula

(See A183170.)

Example

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

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 *)

Crossrefs

Cf. A183170, A183173.

Sequence in context: A216205 A072230 A028332 * A124827 A140965 A002618

Adjacent sequences: A183168 A183169 A183170 * A183172 A183173 A183174

Keyword

nonn,tabf

Author

Clark Kimberling, Dec 28 2010

Status

approved