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%I #2 Mar 30 2012 18:57:06
%S 1,3,2,5,4,7,6,8,10,9,12,11,16,24,18,13,22,15,28,48,30,17,36,14,40,120
%N Transposition sequence of A114881.
%C A self-inverse permutation of the natural numbers.
%F (See A114538 for definition of transposition sequence.)
%e Start with the northwest corner of A114881:
%e 1 3 5 7 9
%e 2 8 14 20 26
%e 4 24 34 54 64
%e 6 48 76 90 118
%e a(1)=1 because 1=T(1,1) and T(1,1)=1.
%e a(2)=3 because 2=T(2,1) and T(1,2)=3.
%e a(3)=2 because 3=T(1,2) and T(2,1)=2.
%e a(20)=48 because 20=T(2,4) and T(4,2)=48.
%Y Cf. A083140, A114881.
%K nonn
%O 1,2
%A _Clark Kimberling_, Jan 03 2006
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