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

1,3

Links

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

Example

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
  ...

Prog

(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

Crossrefs

Cf. A025192 (row lengths), A070940.

Sequence in context: A294926 A079167 A304793 * A350338 A239707 A294928

Adjacent sequences: A199567 A199568 A199569 * A199571 A199572 A199573

Keyword

nonn,tabf,easy

Author

Franklin T. Adams-Watters, Nov 08 2011

Status

approved