A173398 (A007318 + A112468)/2.
1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 4, 2, 1, 1, 1, 7, 4, 3, 1, 1, 1, 11, 7, 9, 3, 1, 1, 1, 16, 11, 22, 9, 4, 1, 1, 1, 22, 16, 46, 22, 16, 4, 1, 1, 1, 29, 22, 86, 46, 50, 16, 5, 1, 1, 1, 37, 29, 148, 86, 130, 50, 25, 5, 1
Offset: 1
Examples
Array starts: 1,1,1,1 1,1,2,2 1,1,4,4 1,1,7,7
Comments