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

1,4

Comments

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

Links

Table of n, a(n) for n=1..36.

Example

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.

Sequence in context: A168019 A026794 A137712 * A168532 A181940 A356154

Adjacent sequences: A194708 A194709 A194710 * A194712 A194713 A194714

Keyword

nonn,tabl,more

Author

Omar E. Pol, Feb 10 2012

Status

approved