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A193827 Irregular triangle read by rows in which row n lists the emergent parts of all partitions of n, or 0 if such parts do not exist. 7
0, 0, 0, 0, 2, 3, 2, 2, 4, 3, 3, 2, 5, 4, 2, 2, 4, 3, 2, 2, 3, 6, 5, 4, 3, 2, 5, 4, 2, 2, 3, 7, 3, 3, 6, 5, 2, 2, 4, 3, 2, 2, 3, 6, 5, 4, 2, 2, 2, 2, 3, 4, 8, 4, 3, 7, 6, 5, 3, 2, 5, 4, 2, 2, 3, 7, 3, 3, 6, 5, 2, 2, 2, 2, 3, 3, 4, 9, 5, 4, 3, 4, 8, 7, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

For the definition of "emergent part" see A182699 and also A182709. Also [0, 0, 0, 0] followed by the positive integers of the rows that contain zeros in the triangle A186114. For another version see A183152.

LINKS

Table of n, a(n) for n=0..84.

EXAMPLE

If written as a triangle:

0,

0,

0,

0,

2,

3,

2,2,4,3,

3,2,5,4,

2,2,4,3,2,2,3,6,5,4,

3,2,5,4,2,2,3,7,3,3,6,5,

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

3,2,5,4,2,2,3,7,3,3,6,5,2,2,2,2,3,3,4,9,5,4,3,4,8,7,6

CROSSREFS

Row n has length A182699(n). Row sums give A182709.

Cf. A135010, A138121.

Sequence in context: A023581 A023574 A210941 * A131340 A175470 A098534

Adjacent sequences:  A193824 A193825 A193826 * A193828 A193829 A193830

KEYWORD

nonn,tabf

AUTHOR

Omar E. Pol, Aug 12 2011

STATUS

approved

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Last modified December 10 23:13 EST 2019. Contains 329909 sequences. (Running on oeis4.)