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%I #4 Nov 27 2013 13:29:35
%S 1,2,3,5,9,4,7,13,6,11,20,10,18,33,17,31,57,8,15,27,14,25,46,24,44,81,
%T 12,22,40,21,38,70,37,68,125,19,35,64,34,62,114,61,112,206,32,59,108,
%U 58,106,195,105,193,355,16,29,53,28,51,94,50,92,169,26,48
%N Inverse permutation of the sequence of positive integers at A232561.
%H Clark Kimberling, <a href="/A232562/b232562.txt">Table of n, a(n) for n = 1..1000</a>
%t z = 8; g[1] = {1}; g[2] = {2, 3}; g[n_] := Riffle[g[n - 1] + 1, 3 g[n - 1]]; j[2] = Join[g[1], g[2]]; j[n_] := Join[j[n - 1], g[n]]; g1[n_] := DeleteDuplicates[DeleteCases[g[n], Alternatives @@ j[n - 1]]]; g1[1] = g[1]; g1[2] = g[2]; t = Flatten[Table[g1[n], {n, 1, z}]] (* A232561 *)
%t Table[Length[g1[n]], {n, 1, z}] (* A001590 *)
%t t1 = Flatten[Table[Position[t, n], {n, 1, 200}]] (* A232562 *)
%Y Cf. A232559, A232561, A001590.
%K nonn,easy
%O 1,2
%A _Clark Kimberling_, Nov 26 2013
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