A182710 Triangle read by rows in which row n lists the parts >= 2 of the last section of the set of partitions of n, in the order produced by the shell model of partitions of A138121, with a(1)=0.

0, 2, 3, 4, 2, 2, 5, 3, 2, 6, 3, 3, 4, 2, 2, 2, 2, 7, 4, 3, 5, 2, 3, 2, 2, 8, 4, 4, 5, 3, 6, 2, 3, 3, 2, 4, 2, 2, 2, 2, 2, 2, 9, 5, 4, 6, 3, 3, 3, 3, 7, 2, 4, 3, 2, 5, 2, 2, 3, 2, 2, 2

Offset

1,2

Comments

These are the parts located in the "head" of the last section.

For other versions see A138136 and A182711.

Links

Table of n, a(n) for n=1..62.

Omar E. Pol, Illustration of the shell model of partitions (3D view)

Omar E. Pol, Illustration. How to build the last section of the set of partitions of n: copy, paste and fill.

Example

Triangle begins:
0,
2,
3,
4,2,2,
5,3,2,
6,3,3,4,2,2,2,2,
7,4,3,5,2,3,2,2,
8,4,4,5,3,6,2,3,3,2,4,2,2,2,2,2,2,
9,5,4,6,3,3,3,3,7,2,4,3,2,5,2,2,3,2,2,2

Crossrefs

Cf. A135010, A138121, A138136, A182711.

Sequence in context: A375127 A214065 A378053 * A182711 A138136 A056472

Adjacent sequences: A182707 A182708 A182709 * A182711 A182712 A182713

Keyword

nonn,tabf

Author

Omar E. Pol, Nov 28 2010

Status

approved