A244245 Number of partitions of n into 9 parts such that every i-th smallest part (counted with multiplicity) is different from i.

1, 9, 37, 101, 220, 410, 684, 1062, 1553, 2174, 2943, 3875, 4995, 6319, 7876, 9689, 11798, 14219, 17005, 20179, 23798, 27894, 32531, 37743, 43610, 50169, 57509, 65679, 74778, 84858, 96036, 108373, 121997, 136983, 153471, 171546, 191373, 213040, 236731, 262556

Offset

54,2

Links

Alois P. Heinz, Table of n, a(n) for n = 54..1000

N. Guru Sharan and Armin Straub, Partitions with Durfee triangles of fixed size, arXiv:2507.19047 [math.CO], 2025. See p. 5.

Crossrefs

Column k=9 of A238406.

Sequence in context: A320696 A299290 A304290 * A288116 A165394 A213570

Adjacent sequences: A244242 A244243 A244244 * A244246 A244247 A244248

Keyword

nonn

Author

Alois P. Heinz, Jun 23 2014

Status

approved