A347657 -id:A347657 - cp's OEIS frontend

A347655 Number of partitions of n into at most 4 squarefree parts.

1, 1, 2, 3, 4, 5, 7, 8, 10, 11, 13, 14, 17, 19, 22, 24, 28, 31, 34, 37, 42, 44, 50, 53, 59, 61, 69, 71, 80, 82, 90, 93, 103, 106, 117, 121, 134, 137, 150, 154, 169, 173, 188, 194, 212, 216, 235, 240, 259, 264, 284, 288, 310, 314, 337, 342, 368, 370, 398, 403, 432

Offset: 0

Ilya Gutkovskiy, Sep 09 2021

nonn

Cf. A005117, A073576, A308767, A347648, A347649, A347656, A347657.

Table[Count[IntegerPartitions[n,4],?(AllTrue[#,SquareFreeQ]&)],{n,0,100}] (* _Harvey P. Dale, Sep 04 2023 *)

A347656 Number of partitions of n into at most 5 squarefree parts.

Original entry on oeis.org

1, 1, 2, 3, 4, 6, 8, 10, 12, 15, 18, 21, 24, 29, 33, 39, 43, 51, 56, 65, 71, 81, 89, 101, 108, 122, 132, 147, 157, 175, 187, 206, 218, 241, 257, 282, 298, 327, 346, 378, 397, 434, 457, 498, 520, 567, 595, 644, 671, 726, 759, 816, 848, 911, 949, 1017, 1053, 1129, 1172

Offset: 0

Ilya Gutkovskiy, Sep 09 2021

nonn

Cf. A005117, A073576, A308840, A347648, A347649, A347655, A347657.

Table[Count[IntegerPartitions[n,5],?(AllTrue[#,SquareFreeQ]&)],{n,0,60}] (* _Harvey P. Dale, Aug 27 2023 *)

cp's OEIS Frontend

A347655 Number of partitions of n into at most 4 squarefree parts.

Views

Author

Keywords

Crossrefs

Programs