login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A187821 Number of non-squashing partitions of n into odd parts. 3
1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 3, 4, 5, 6, 5, 6, 7, 9, 7, 9, 11, 12, 11, 12, 15, 17, 15, 17, 21, 22, 21, 22, 27, 29, 27, 29, 36, 36, 36, 36, 45, 47, 45, 47, 57, 58, 57, 58, 69, 73, 69, 73, 86, 88, 86, 88, 103, 109, 103, 109, 125, 130, 125, 130, 147, 157, 147, 157, 176, 184, 176, 184, 205, 220, 205, 220, 241, 256, 241, 256 (list; graph; refs; listen; history; text; internal format)
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

Cf. A018819 and A000123 (non-squashing partitions, also binary partitions).

Cf. A088567 (non-squashing partitions into distinct parts)

Sequence in context: A216505 A265626 A230230 * A114775 A071136 A025425

Adjacent sequences:  A187818 A187819 A187820 * A187822 A187823 A187824

KEYWORD

nonn

AUTHOR

Joerg Arndt, Dec 27 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified August 23 06:11 EDT 2017. Contains 290958 sequences.