A194438 Triangle read by rows: T(n,k) is the number of regions of the set of partitions of n into k parts.

1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 3, 1, 1, 0, 1, 0, 1, 5, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 7, 3, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 11, 4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 15, 6, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0

Offset

1,7

Comments

For the definition of "region" see A206437. See also A186114 and A193870. - Omar E. Pol, May 21 2021

Links

Table of n, a(n) for n=1..83.

Omar E. Pol, Illustration of the seven regions of 5

Example

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

Crossrefs

Column 1 is A194439.

Row n has length A000041(n).

Row sums give A000041, n >= 1.

Cf. A008284, A135010, A138121, A186114, A186412, A193870, A194436, A194437, A194439, A194446, A194447, A206437.

Sequence in context: A059571 A027052 A322508 * A144409 A131257 A105806

Adjacent sequences: A194435 A194436 A194437 * A194439 A194440 A194441

Keyword

nonn,tabf

Author

Omar E. Pol, Nov 28 2011

Extensions

Definition clarified by Omar E. Pol, May 21 2021

Status

approved