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A183542 First of two complementary trees generated by the Wythoff sequences. 3
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 (list; graph; refs; listen; history; text; internal format)
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: A134079 A033686 A243973 * A080031 A198193 A214533

Adjacent sequences:  A183539 A183540 A183541 * A183543 A183544 A183545

KEYWORD

nonn,tabf

AUTHOR

Clark Kimberling, Jan 05 2011

STATUS

approved

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Last modified March 25 19:30 EDT 2017. Contains 284082 sequences.