A055892 Also aperiodic partitions of n into k parts.
1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 3, 4, 3, 2, 1, 0, 1, 3, 5, 3, 3, 1, 1, 0, 1, 4, 6, 6, 5, 2, 2, 1, 0, 1, 4, 8, 7, 6, 3, 3, 1, 1, 0, 1, 5, 10, 11, 10, 7, 5, 3, 2, 1, 0, 1, 5, 11, 12, 13, 7, 7, 3, 2, 1, 1, 0, 1, 6, 14, 18, 18, 14, 11, 7, 5, 3, 2, 1, 0, 1, 6, 16, 20, 23
Offset: 1
Examples
1; 1,0; 1,1,0; 1,1,1,0; 1,2,2,1,0; ... For n=6, 2+2+1+1 is periodic because it can be written 2*(2+1), similarly 1+1+1+1+1+1, 3+3 and 2+2+2.
Links
- N. J. A. Sloane, Transforms
Formula
Moebius transform of partition triangle A008284.