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

0,16

Comments

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

Links

Table of n, a(n) for n=0..90.

Example

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.

Sequence in context: A358478 A083475 A211994 * A179008 A255252 A174985

Adjacent sequences: A122399 A122400 A122401 * A122403 A122404 A122405

Keyword

easy,nonn,tabf

Author

Alford Arnold, Sep 02 2006

Status

approved