

A183544


Ordering of the numbers in the tree A183542; complement of A183545.


2



1, 2, 4, 5, 7, 8, 9, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 25, 26, 27, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..70.


FORMULA

The monotonic ordering of the numbers in the set S generated by these rules: 1 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={1}; 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, A183545.
Sequence in context: A026451 A050106 A303739 * A219640 A184164 A190852
Adjacent sequences: A183541 A183542 A183543 * A183545 A183546 A183547


KEYWORD

nonn


AUTHOR

Clark Kimberling, Jan 05 2011


STATUS

approved



