A183231 - OEIS

%I #13 Mar 30 2012 18:57:12

%S 1,4,3,19,7,13,6,229,25,43,11,118,18,34,10,26794,250,376,32,1033,52,

%T 89,16,7258,133,208,24,664,42,76,15,359026204,27025,31876,272,71629,

%U 403,593,40,536128,1078,1483,62,4184,102,169,22,26357428

%N First of two complementary trees generated by the triangular numbers.  The second tree is A183232.

%C Begin with the main tree A183079 generated by the triangular numbers:

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

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

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

%C .........6.......5........10........7

%C .......21..9...15..8....55..14....28..11

%C Every n>2 is in the subtree from 3 or the subtree from 4.

%C Therefore, on subtracting 2 from all entries of those subtrees, we obtain complementary trees:  A183231 and A183232.

%F See the formulas at A183079 and A183233.

%e First three levels:

%e ............1

%e .......4.........3

%e ....19...7.....13..6

%Y Cf. A183079, A183232 (second tree), A183233.

%K nonn,tabf

%O 1,2

%A _Clark Kimberling_, Jan 02 2011