A122401 -id:A122401 - cp's OEIS frontend

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

Alford Arnold, Sep 02 2006

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

			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
...

Cf. A002865 A122172 A122401.

A122403 Table read by rows: rearrangement of A122401 to illustrate linear column sequences.

Original entry on oeis.org

1, 0, 3, 4, 5, 9, 6, 12, 7, 15, 16, 27, 8, 18, 20, 36, 9, 21, 24, 45, 25, 48, 81, 10, 24, 28, 54, 30, 60, 108, 64, 11, 27, 32, 63, 35, 72, 135, 80, 36, 75, 144, 243, 12, 30, 36, 72, 40, 84, 162, 96, 42, 90, 180, 324, 100, 192

Offset: 0

Alford Arnold, Sep 03 2006

			The row sums and array begin:
1 1
0 0
3 3
4 4
14 5 9
18 6 12
65 7 15 16 27
82 8 18 20 36
253 9 21 24 45 25 48 81
378 10 24 28 54 30 60 108 64
953 11 27 32 63 35 72 135 80 36 75 144 243
1460 12 30 36 72 40 84 162 96 42 90 180 324 100 192

Cf. A122172 A122401 A122402.

cp's OEIS Frontend

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

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