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Split-floor-multiplier sequence (SFMS) using multipliers 2/3 and 3/2. (SFMS is defined at A120229.).
1

%I #2 Mar 30 2012 18:57:06

%S 1,3,2,6,7,4,10,5,13,15,16,8,19,9,22,24,11,12,28,30,14,33,34,36,37,17,

%T 18,42,43,20,46,21,49,51,23,54,55,25,26,60,27,63,64,29,67,69,31,32,73,

%U 75,76,78,35,81,82,84,38,87,39,40,91,41,94,96,97,44,100,45,103,105,47

%N Split-floor-multiplier sequence (SFMS) using multipliers 2/3 and 3/2. (SFMS is defined at A120229.).

%C A permutation of the natural numbers.

%F a(n)=[2n/3] if this is positive and new, else a(n)=[3n/2].

%e a(1)=[3/2]=1 because [2/3] is not positive.

%e a(2)=[2*3/2]=3.

%e a(3)=[3*2/3]=2.

%Y Cf. A073675, A120230.

%K nonn

%O 1,2

%A _Clark Kimberling_, Jun 11 2006