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

Author

Clark Kimberling, Jan 05 2011

Keywords

• nonn
• tabf

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.

Examples

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

Crossrefs

Cf. A074049, A183543, A183544,

A183079 (definition of tree generated by a sequence).

Formula

See the formulas at A074049 and A183544.