A183545 Ordering of the numbers in the tree A183543; complement of A183544.

3, 6, 10, 11, 17, 18, 19, 28, 29, 30, 31, 32, 46, 47, 48, 49, 50, 51, 52, 53, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 198, 199, 200

Offset

1,1

Links

Table of n, a(n) for n=1..57.

Formula

The monotonic ordering of the numbers in the set S generated by these rules: 3 is in S, and if n is in S, then -2+Floor[(n+2)r] and n+Floor[(n+2)r] are in S, where r=(1+sqrt(5))/2, the golden ratio.

Mathematica

 nn=200; g=(1+5^(1/2))/2; t={3}; t0=t; While[t=Select[Union[t, -2+Floor[(t+2)g], t+Floor[(t+2)g]], #<=nn&]; t0 !=t, t0=t]; t

Crossrefs

Cf. A183542, A183543, A183544.

Sequence in context: A219638 A105359 A105355 * A351827 A351828 A158975

Adjacent sequences: A183542 A183543 A183544 * A183546 A183547 A183548

Keyword

nonn

Author

Clark Kimberling, Jan 05 2011

Status

approved