0,9

A strongly decreasing partition of n is a partition p(1) + p(2) + ... + p(m) = n such that p(k) > sum(j=k+1..m, p(j) ).

Joerg Arndt, Table of n, a(n) for n = 0..1000

The a(30) = 11 such partitions are:

01: [ 17 7 5 1 ]

02: [ 17 9 3 1 ]

03: [ 17 13 ]

04: [ 19 7 3 1 ]

05: [ 19 11 ]

06: [ 21 5 3 1 ]

07: [ 21 9 ]

08: [ 23 7 ]

09: [ 25 5 ]

10: [ 27 3 ]

11: [ 29 1 ]

Cf. A187821 (non-squashing partitions of n into odd parts), A040039 (strongly decreasing partitions).

Sequence in context: A091226 A097913 A029269 * A194621 A088004 A070548

Adjacent sequences: A272184 A272185 A272186 * A272188 A272189 A272190

nonn

Joerg Arndt, Apr 22 2016

approved