

A183171


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


5



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
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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



FORMULA



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



KEYWORD

nonn,tabf


AUTHOR



STATUS

approved



