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

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, 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, 5, 3, 5, 4, 5, 2, 5, 4, 5, 3, 5, 4, 5

Offset: 1

Author

Franklin T. Adams-Watters, Nov 08 2011

Keywords

• nonn
• tabf
• easy

Examples

			The table starts:
  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
  ...
		

Links

• John Tyler Rascoe, Rows n = 1..9 of table, flattened

Crossrefs

Cf. A025192 (row lengths), A070940.

Programs

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

Python

def A199570_list(row):
    A = [1]
    for i in range(2,row+1):
        z = 2*(3**(i-2))
        for j in range(1,z+1):
            if j%2 != 0: A.append(A[int((j-1)/2)])
            else: A.append(i)
    return(A) # John Tyler Rascoe, Feb 19 2023