A328917 Types of signatures of partitions of n (ordered firstly by decreasing greatest parts, then by decreasing sum of parts, then by increasing number of parts). Irregular triangle read by rows, length of row n is A088887(n).

0, 1, 2, 1, 3, 1, 1, 1, 4, 2, 1, 2, 1, 1, 1, 5, 3, 1, 2, 1, 1, 1, 1, 6, 4, 1, 3, 1, 3, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 7, 5, 1, 4, 1, 3, 2, 3, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 8, 6, 1, 5, 1, 4, 2, 4, 1, 4, 3, 2, 3, 1, 1, 3, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1

Offset

0,3

Links

Table of n, a(n) for n=0..90.

Example

The first rows are, writing abc for [a, b, c]:
0: 0
1: 1
2: 2, 1
3: 3, 11, 1
4: 4, 21, 2,  11, 1
5: 5, 31, 21, 11, 1
6: 6, 41, 31, 3,  22, 21,  2,  111, 11, 1
7: 7, 51, 41, 32, 31, 211, 21, 111, 11, 1
8: 8, 61, 51, 42, 41, 4,   32, 311, 31, 22, 211, 21, 2, 111, 11, 1

Crossrefs

Cf. A088887.

Sequence in context: A331181 A344593 A353278 * A265917 A057021 A152443

Adjacent sequences: A328914 A328915 A328916 * A328918 A328919 A328920

Keyword

nonn,tabf

Author

Peter Luschny, Nov 12 2019

Status

approved