A183420 - OEIS

%I #11 Mar 30 2012 18:57:12

%S 2,14,4,254,18,34,6,65534,270,398,22,1294,40,62,9,4294967294,65790,

%T 73982,286,159998,418,574,27,1679614,1330,1762,46,4094,70,119,12

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

%C Begin with the main tree A183169 generated by the squares:

%C ......................1

%C ......................2

%C ...........4.....................3

%C .......16.......6...........9..........5

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

%C 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.

%F See the formulas at A183169 and A183422.

%e First three levels:

%e ..................2

%e .............14.........4

%e ..........254...18....34...6

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

%K nonn,tabf

%O 1,1

%A _Clark Kimberling_, Jan 04 2011