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

1,12

Links

Table of n, a(n) for n=1..96.

N. J. A. Sloane, Transforms

Formula

Moebius transform of partition triangle A008284.

Example

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.

Crossrefs

Row sums give A000837. Cf. A055893.

Sequence in context: A257145 A253262 A015504 * A293772 A293680 A293539

Adjacent sequences: A055889 A055890 A055891 * A055893 A055894 A055895

Keyword

nonn,tabl

Author

Christian G. Bower, Jun 09 2000

Status

approved