A183542 First of two complementary trees generated by the Wythoff sequences.

1, 2, 5, 4, 8, 9, 16, 7, 13, 14, 24, 15, 26, 27, 45, 12, 21, 22, 37, 23, 39, 40, 66, 25, 42, 43, 71, 44, 73, 74, 121, 20, 34, 55, 58, 36, 60, 61, 100, 38, 63, 64, 105, 65, 107, 108, 176, 41, 68, 69, 113, 70, 115, 116, 189, 72, 118, 119, 194, 120, 196, 197, 320

Offset

1,2

Comments

Begin with the main tree A074049 generated by the Wythoff sequences:

...................1

...................2

...........3.................5

.......4.......7........8........13

.....6..10...11..18....12..20...21..34

Every n >2 is in the subtree from 3 or the subtree from 5. Therefore, on subtracting 2 from all entries in those subtrees, we obtain complementary trees: A183342 and A183543.

Links

Table of n, a(n) for n=1..63.

Formula

See the formulas at A074049 and A183544.

Example

First three levels:
...................1
.............2............3
..........4.....8......9.....16

Crossrefs

Cf. A074049, A183543, A183544,

A183079 (definition of tree generated by a sequence).

Sequence in context: A033686 A243973 A286015 * A328203 A080031 A198193

Adjacent sequences: A183539 A183540 A183541 * A183543 A183544 A183545

Keyword

nonn,tabf

Author

Clark Kimberling, Jan 05 2011

Status

approved