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

1,1

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.

Links

Table of n, a(n) for n=1..31.

Formula

See the formulas at A183169 and A183422.

Example

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

Crossrefs

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

Sequence in context: A306724 A316909 A103979 * A084677 A344115 A191995

Adjacent sequences: A183417 A183418 A183419 * A183421 A183422 A183423

Keyword

nonn,tabf

Author

Clark Kimberling, Jan 04 2011

Status

approved