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A199570 Table, each row contains the previous sequence in odd columns and the row number in even columns.

%I A199570 #10 Feb 19 2023 17:50:42
%S A199570 1,1,2,1,3,1,3,2,3,1,4,1,4,2,4,1,4,3,4,1,4,3,4,2,4,3,4,1,5,1,5,2,5,1,
%T A199570 5,3,5,1,5,3,5,2,5,3,5,1,5,4,5,1,5,4,5,2,5,4,5,1,5,4,5,3,5,4,5,1,5,4,
%U A199570 5,3,5,4,5,2,5,4,5,3,5,4,5
%N A199570 Table, each row contains the previous sequence in odd columns and the row number in even columns.
%H A199570 John Tyler Rascoe, <a href="/A199570/b199570.txt">Rows n = 1..9 of table, flattened</a>
%e A199570 The table starts:
%e A199570   1
%e A199570   1 2
%e A199570   1 3 1 3 2 3
%e A199570   1 4 1 4 2 4 1 4 3 4 1 4 3 4 2 4 3 4
%e A199570   ...
%o A199570 (PARI) n=4;v=vector(3^n);v[1]=1;for(k=1,n,for(i=(s=3^(k-1))+1,3^k,v[i]=if((i-s)%2,v[(i-s+1)\2],k+1)));v
%o A199570 (Python)
%o A199570 def A199570_list(row):
%o A199570     A = [1]
%o A199570     for i in range(2,row+1):
%o A199570         z = 2*(3**(i-2))
%o A199570         for j in range(1,z+1):
%o A199570             if j%2 != 0: A.append(A[int((j-1)/2)])
%o A199570             else: A.append(i)
%o A199570     return(A) # _John Tyler Rascoe_, Feb 19 2023
%Y A199570 Cf. A025192 (row lengths), A070940.
%K A199570 nonn,tabf,easy
%O A199570 1,3
%A A199570 _Franklin T. Adams-Watters_, Nov 08 2011