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A272187 Number of strongly decreasing partitions of n into odd parts. 1
1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 4, 5, 6, 7, 6, 7, 8, 10, 8, 10, 11, 13, 11, 13, 14, 17, 14, 17, 19, 21, 19, 21, 24, 27, 24, 27, 31, 33, 31, 33, 38, 41, 38, 41, 48, 49, 48, 49, 58, 60, 58, 60, 71, 71, 71, 71, 84, 85, 84, 85, 101, 99, 101, 99, 118, 118, 118, 118, 139, 137, 139 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,9

COMMENTS

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) ).

LINKS

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

EXAMPLE

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 ]

CROSSREFS

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

KEYWORD

nonn

AUTHOR

Joerg Arndt, Apr 22 2016

STATUS

approved

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Last modified May 29 06:46 EDT 2017. Contains 287243 sequences.