A194438 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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;

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