A183420 First of two complementary trees generated by the squares; the other tree is A183421.

2, 14, 4, 254, 18, 34, 6, 65534, 270, 398, 22, 1294, 40, 62, 9, 4294967294, 65790, 73982, 286, 159998, 418, 574, 27, 1679614, 1330, 1762, 46, 4094, 70, 119, 12

Offset: 1

Author

Clark Kimberling, Jan 04 2011

Keywords

• nonn
• tabf

Comments

Begin with the main tree A183169 generated by the squares:

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

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

...........4.....................3

.......16.......6...........9..........5

...256...20...36..8......81...12....25...7

Every n>2 is in the subtree from 4 or the subtree from 3. Therefore, on subtracting 2 from all entries of those subtrees, we obtain complementary trees: A183420 and A183421.

Examples

			First three levels:
..................2
.............14.........4
..........254...18....34...6
		

Crossrefs

Cf. A183169, A183420, A183421, A183422, A183231 (analogous trees generated by the triangular numbers).

Formula

See the formulas at A183169 and A183422.