OFFSET
0,6
COMMENTS
A non-squashing 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(33) = a(35) = 27 non-squashing partitions of 33 and 35 into odd parts are
[ 1] [ 17 9 5 1 1 ] [ 1] [ 19 9 5 1 1 ]
[ 2] [ 17 9 7 ] [ 2] [ 19 9 7 ]
[ 3] [ 17 11 3 1 1 ] [ 3] [ 19 11 3 1 1 ]
[ 4] [ 17 11 5 ] [ 4] [ 19 11 5 ]
[ 5] [ 17 13 3 ] [ 5] [ 19 13 3 ]
[ 6] [ 17 15 1 ] [ 6] [ 19 15 1 ]
[ 7] [ 19 7 5 1 1 ] [ 7] [ 21 7 5 1 1 ]
[ 8] [ 19 7 7 ] [ 8] [ 21 7 7 ]
[ 9] [ 19 9 3 1 1 ] [ 9] [ 21 9 3 1 1 ]
[10] [ 19 9 5 ] [10] [ 21 9 5 ]
[11] [ 19 11 3 ] [11] [ 21 11 3 ]
[12] [ 19 13 1 ] [12] [ 21 13 1 ]
[13] [ 21 7 3 1 1 ] [13] [ 23 7 3 1 1 ]
[14] [ 21 7 5 ] [14] [ 23 7 5 ]
[15] [ 21 9 3 ] [15] [ 23 9 3 ]
[16] [ 21 11 1 ] [16] [ 23 11 1 ]
[17] [ 23 5 3 1 1 ] [17] [ 25 5 3 1 1 ]
[18] [ 23 5 5 ] [18] [ 25 5 5 ]
[19] [ 23 7 3 ] [19] [ 25 7 3 ]
[20] [ 23 9 1 ] [20] [ 25 9 1 ]
[21] [ 25 5 3 ] [21] [ 27 5 3 ]
[22] [ 25 7 1 ] [22] [ 27 7 1 ]
[23] [ 27 3 3 ] [23] [ 29 3 3 ]
[24] [ 27 5 1 ] [24] [ 29 5 1 ]
[25] [ 29 3 1 ] [25] [ 31 3 1 ]
[26] [ 31 1 1 ] [26] [ 33 1 1 ]
[27] [ 33 ] [27] [ 35 ]
CROSSREFS
KEYWORD
nonn
AUTHOR
Joerg Arndt, Dec 27 2012
STATUS
approved