A182980 -id:A182980 - cp's OEIS frontend

A182985 Largest part of the n-th row of the table version "mirror" of the shell model of partitions of A135010 and A182980.

1, 2, 3, 4, 2, 3, 5, 6, 3, 4, 2, 3, 5, 4, 7, 8, 4, 5, 6, 3, 4, 2, 3, 5, 4, 7, 3, 6, 5, 9, 10, 5, 6, 7, 4, 8, 4, 5, 6, 3, 4, 2, 3, 5, 4, 7, 3, 6, 5, 9, 5, 4, 8, 7, 6, 11

Offset: 1

Omar E. Pol, Feb 02 2011

If n is odd then row n lists the numbers of row n of A141285. If n is even then row n lists the numbers of row n of A141285 but in reverse order.

			Triangle begins:
1,
2,
3,
4, 2,
3, 5,
6, 3, 4, 2,
3, 5, 4, 7,
8, 4, 5, 6, 3, 4, 2,
3, 5, 4, 7, 3, 6, 5, 9,
10,5, 6, 7, 4, 8, 4, 5, 6, 3, 4, 2,
3, 5, 4, 7, 3, 6, 5, 9, 5, 4, 8, 7, 6, 11,

Cf. A135010, A181285, A182982, A182983.

A182982 Triangle read by rows: row n lists the parts of the n-th shell of the table A182742.

Original entry on oeis.org

2, 2, 4, 2, 2, 3, 3, 6, 2, 2, 2, 2, 3, 5, 4, 4, 8, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 3, 7, 4, 6, 5, 5, 10, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 6, 3, 4, 5, 3, 9, 4, 4, 4, 4, 8, 5, 7, 6, 6, 12, 2, 2, 2, 2, 2, 2, 2, 2, 2

Offset: 1

Omar E. Pol, Jan 26 2011

Apparently this is the main table for even numbers of the shell model of partitions. It appears that the table shows an overlapping of all the heads of last sections of partitions of all even numbers. This is the table 2.0 mentioned in A135010, a geometric version of the table A182742. For odd numbers see A182983. The largest parts of the rows of the diagram give A182732.

			Triangle begins:
2,
2, 4,
2, 2, 3, 3, 6,
2, 2, 2, 2, 3, 5, 4, 4, 8,
2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 3, 7, 4, 6, 5, 5, 10

Cf. A135010, A141285, A182732, A182742, A182980, A182983.

A182983 Triangle read by rows: row n lists the parts of the n-th shell of the table A182743.

Original entry on oeis.org

3, 2, 5, 2, 2, 3, 4, 7, 2, 2, 2, 2, 3, 3, 3, 3, 6, 4, 5, 9, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 5, 3, 4, 4, 3, 8, 4, 7, 5, 6, 11, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 3, 3, 7, 3, 4, 6, 3, 5, 5, 3, 10, 4, 4, 5, 4, 9, 5, 8, 6, 7, 13, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2

Offset: 1

Omar E. Pol, Jan 26 2011

Apparently this is the main table for odd numbers of the shell model of partitions. It appears that the table shows an overlapping of all the heads of last sections of partitions of all odd numbers. This is the table 2.1 mentioned in A135010, a geometric version of the table A182743. For even numbers see A182982. The largest parts of the rows of the diagram give A182733.

			Triangle begins:
3,
2, 5,
2, 2, 3, 4, 7,
2, 2, 2, 2, 3, 3, 3, 3, 6, 4, 5, 9

Cf. A135010, A141285, A182733, A182743, A182980, A182982.

cp's OEIS Frontend

A182985 Largest part of the n-th row of the table version "mirror" of the shell model of partitions of A135010 and A182980.

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A182982 Triangle read by rows: row n lists the parts of the n-th shell of the table A182742.

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A182983 Triangle read by rows: row n lists the parts of the n-th shell of the table A182743.

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