A116473 Number of partitions with exactly n subpartitions.

1, 1, 2, 2, 3, 3, 4, 2, 6, 5, 4, 4, 6, 5, 8, 6, 5, 6, 9, 5, 10, 8, 6, 6, 12, 6, 8, 10, 8, 12, 10, 4, 12, 14, 12, 10, 13, 4, 10, 12, 10, 12, 12, 8, 16, 15, 10, 8, 16, 13, 16, 14, 9, 14, 22, 10, 12, 12, 8, 12, 20, 16, 14, 16, 19, 16, 14, 8, 17, 23, 10, 12, 16, 10, 25, 18, 14, 16, 22, 16, 22

Offset

1,3

Comments

Conjecture that lim_{n->infinity} a(n) = infinity. Definitely a(n) > 2 for n > 8.

Links

Table of n, a(n) for n=1..81.

Niccolò Castronuovo, On the number of fixed points of the map gamma, arXiv:2102.02739 [math.NT], 2021. Mentions this sequence.

Crossrefs

Cf. A115728, A115729.

Sequence in context: A091220 A057955 A305788 * A341151 A006546 A031268

Adjacent sequences: A116470 A116471 A116472 * A116474 A116475 A116476

Keyword

nonn

Author

Franklin T. Adams-Watters, Mar 17 2006

Status

approved