A212115 Number of partitions of n into exactly 4 different parts with distinct multiplicities.

1, 5, 8, 17, 29, 41, 59, 95, 120, 170, 224, 297, 367, 491, 583, 764, 904, 1118, 1306, 1631, 1863, 2269, 2576, 3099, 3479, 4179, 4583, 5456, 6029, 7041, 7693, 8978, 9745, 11274, 12174, 14037, 15074, 17202, 18383, 20978, 22404, 25276, 26825, 30271, 32092, 36051

Offset

20,2

Links

Table of n, a(n) for n=20..65.

Example

a(20) = 1: [4,3,3,2,2,2,1,1,1,1].
a(21) = 5: [4,3,3,2,2,2,1,1,1,1,1], [4,3,3,2,2,2,2,1,1,1], [4,3,3,3,2,2,1,1,1,1], [4,4,3,2,2,2,1,1,1,1], [5,3,3,2,2,2,1,1,1,1].
a(22) = 8: [4,3,3,2,2,2,1,1,1,1,1,1], [4,3,3,3,2,2,1,1,1,1,1], [4,4,3,2,2,2,1,1,1,1,1], [4,4,3,2,2,2,2,1,1,1], [5,3,3,2,2,2,1,1,1,1,1], [5,3,3,2,2,2,2,1,1,1], [5,3,3,3,2,2,1,1,1,1], [6,3,3,2,2,2,1,1,1,1].

Crossrefs

Column k=4 of A182485.

Sequence in context: A090679 A031191 A365591 * A091625 A027601 A261808

Adjacent sequences: A212112 A212113 A212114 * A212116 A212117 A212118

Keyword

nonn

Author

Alois P. Heinz, May 01 2012

Status

approved