A207378 - OEIS

A207378

Triangle read by rows in which row n lists the parts of the last section of the set of partitions of n in nonincreasing order.

1, 2, 1, 3, 1, 1, 4, 2, 2, 1, 1, 1, 5, 3, 2, 1, 1, 1, 1, 1, 6, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 5, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 6, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

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

OFFSET

1,2

COMMENTS

Starting from the first row; it appears that the total numbers of occurrences of k in k successive rows give the sequence A000041. For more information see A182703.

LINKS

Alois P. Heinz, Rows n = 1..23, flattened

EXAMPLE

Written as a triangle:

2,1;

3,1,1;

4,2,2,1,1,1;

5,3,2,1,1,1,1,1;

6,4,3,3,2,2,2,2,1,1,1,1,1,1,1;

7,5,4,3,3,2,2,2,1,1,1,1,1,1,1,1,1,1,1;

8,6,5,4,4,4,3,3,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1;

CROSSREFS