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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 17 06:52 EDT 2019. Contains 327119 sequences. (Running on oeis4.)