|
|
A319162
|
|
Number of periodic integer partitions of n whose multiplicities are aperiodic, meaning the multiplicities of these multiplicities are relatively prime.
|
|
9
|
|
|
0, 1, 1, 2, 1, 3, 1, 4, 2, 6, 1, 9, 1, 12, 6, 16, 1, 27, 1, 33, 12, 46, 1, 70, 5, 84, 22, 110, 1, 172, 1, 188, 46, 251, 15, 366, 1, 418, 84, 540, 1, 775, 1, 863, 162, 1095, 1, 1535, 11, 1750, 251, 2154, 1, 2963, 49, 3323, 418, 4106, 1, 5567
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,4
|
|
LINKS
|
|
|
EXAMPLE
|
The a(12) = 9 partitions:
(66),
(444), (441111),
(3333), (33111111),
(222222), (222111111), (2211111111),
(111111111111).
|
|
MATHEMATICA
|
Table[Length[Select[IntegerPartitions[n], And[GCD@@Sort[Length/@Split[#]]>1, GCD@@Length/@Split[Sort[Length/@Split[#]]]==1]&]], {n, 30}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|