A122402 A sequence of rectangular tables with row sums A122401 related to A002865 and A122172.

1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 4, 3, 2, 1, 1, 3, 6, 7, 6, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 2, 1, 1, 2, 3, 4, 4, 3, 2, 1, 1, 3, 6, 8, 8, 6, 3, 1

Offset: 0

Author

Alford Arnold, Sep 02 2006

Keywords

• easy
• nonn
• tabf

Comments

Sequence A002865 gives the number of rows in each rectangular table. A122402 is a subsequence of A122172.

Examples

			There are four cyclic partitions of 6: 6, 42, 33 and 222; therefore the corresponding table is
1 1 1 1 1 1 1
1 2 3 3 3 2 1
1 2 3 4 3 2 1
1 3 6 7 6 3 1
The tables begin:
1
0
1 1 1
1 1 1 1
1 1 1 1 1
1 2 3 2 1
1 1 1 1 1 1
1 2 3 3 2 1
...
		

Crossrefs

Cf. A002865 A122172 A122401.