A194711 Triangle read by rows: T(n,k) = number of partitions or zones in the last section of the set of partitions of n that contains k as a part.

1, 1, 1, 2, 0, 1, 3, 1, 0, 1, 5, 1, 1, 0, 1, 7, 2, 1, 1, 0, 1, 11, 2, 2, 1, 1, 0, 1, 15, 4, 2, 1, 1, 1, 0, 1

Offset: 1

Author

Omar E. Pol, Feb 10 2012

Keywords

• nonn
• tabl
• more

Comments

It appears that row n lists A000041(n)-1 together with the row n-2 of the triangle A116598, if n >= 2.

Examples

			Triangle begins:
1,
1, 1,
2, 0, 1,
3, 1, 0, 1,
5, 1, 1, 0, 1,
7, 2, 1, 1, 0, 1,
11, 2, 2, 1, 1, 0, 1,
15, 4, 2, 1, 1, 1, 0, 1,
		

Crossrefs

Column 1 is A000041. Columns >= 2 are A002865.

Cf. A027293, A116598, A135010, A138121, A182703, A194812.