A137163 Like sequence A137161 but starting from the sequence of natural number A000027.
1, 1, 2, 1, 2, 1, 3, 1, 3, 1, 1, 1, 4, 1, 4, 1, 1, 1, 5, 1, 2, 1, 1, 1, 5, 1, 6, 1, 1, 1, 6, 1, 2, 1, 1, 1, 2, 1, 7, 1, 1, 1, 7, 1, 2, 1, 1, 1, 8, 1, 3, 1, 1
Offset: 0
Examples
Step=0 -> 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,.. Now any "1" position insert the numbers of Step=0. Step=1 -> 1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,.. Now any "3" positions insert the numbers of Step=1 Step=2 -> 1,1,2,1,2,3,3,1,4,4,5,2,5,6,6,2,7,7,8,3,8,9,9,3,10,.. Now any "5" positions insert the numbers of Step=2 Step=3 -> 1,1,2,1,2,1,3,3,1,4,4,1,5,2,5,6,6,2,2,7,7,8,3,1,8,9,.. And so on.