login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A322530 Number of integer partitions of n with no 1's whose product of parts is a squarefree number. 7
1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 3, 2, 2, 4, 3, 3, 3, 6, 5, 5, 5, 6, 8, 8, 9, 8, 11, 8, 12, 13, 16, 14, 13, 16, 21, 18, 21, 25, 22, 24, 27, 35, 33, 33, 32, 37, 42, 47, 48, 48, 52, 51, 59, 70, 68, 65, 69, 80, 87, 90, 103, 100, 96, 103, 123, 128, 135, 136, 132, 153 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Such a partition must be strict and its parts must also be squarefree.

LINKS

Table of n, a(n) for n=0..69.

EXAMPLE

The a(26) = 11 integer partitions:

  (26),

  (15,11), (19,7), (21,5), (23,3),

  (13,7,6), (13,10,3), (13,11,2), (17,7,2), (19,5,2),

  (11,7,5,3).

MATHEMATICA

Table[Length[Select[IntegerPartitions[n], !MemberQ[#, 1]&&SquareFreeQ[Times@@#]&]], {n, 30}]

CROSSREFS

First differences of A322526.

Cf. A002865, A003963, A005117, A064573, A072774, A073576, A302505, A319005, A319057, A319169, A320322, A322527, A322528, A322529.

Sequence in context: A319814 A220272 A298917 * A303364 A131332 A059780

Adjacent sequences:  A322527 A322528 A322529 * A322531 A322532 A322533

KEYWORD

nonn

AUTHOR

Gus Wiseman, Dec 14 2018

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 6 20:37 EST 2021. Contains 341850 sequences. (Running on oeis4.)