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A182715
Triangle read by rows in which row n lists in nonincreasing order the smallest part of every partition of n.
9
0, 1, 2, 1, 3, 1, 1, 4, 2, 1, 1, 1, 5, 2, 1, 1, 1, 1, 1, 6, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 7, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 4, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1
OFFSET
0,3
COMMENTS
Triangle read by rows in which row n lists the smallest parts of all partitions of n in the order produced by the shell model of partitions of A138121.
Also, row n lists the "filler parts" of all partition of n. For more information see A182699.
Row n has length A000041(n). Row sums give A046746. Column 1 gives A001477. The last A000041(n-1) terms of row n are ones, n >= 1.
EXAMPLE
For row 10, see the illustration of the link.
Triangle begins:
0,
1,
2,1,
3,1,1,
4,2,1,1,1,
5,2,1,1,1,1,1,
6,3,2,2,1,1,1,1,1,1,1,
7,3,2,2,1,1,1,1,1,1,1,1,1,1,1,
8,4,3,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
9,4,3,3,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
...
CROSSREFS
Mirror of triangle A196931.
Sequence in context: A062534 A143349 A335123 * A088425 A141294 A174557
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Dec 01 2010
EXTENSIONS
Name simplified and more terms from Omar E. Pol, Oct 21 2011
STATUS
approved