A239314 Maximum of the partition function on the set of all partitions of n minus the number of partitions of n.

0, 0, 0, 0, 0, 0, 0, 3, 5, 13, 21, 48, 74, 140, 209, 394, 578, 990, 1435, 2498, 3583, 5873, 8370, 14050, 19917, 31939, 45115, 74407, 104810, 166271, 233783, 382276, 536732, 847065, 1188242, 1935148, 2712738, 4270860, 5984440, 9728287, 13627292

Offset

1,8

Comments

For the precise definition of maxp(n) see Theorem 1.1 in the Bessenrodt-Ono paper, pages 1-2.

Links

Table of n, a(n) for n=1..41.

Christine Bessenrodt and Ken Ono, Maximal multiplicative properties of partitions, arXiv:1403.3352 [math.CO]

Formula

a(n) = maxp(n) - p(n) = A239054(n) - A000041(n).

Crossrefs

Cf. A000041, A239054.

Sequence in context: A168388 A059872 A059873 * A059874 A059875 A284357

Adjacent sequences: A239311 A239312 A239313 * A239315 A239316 A239317

Keyword

nonn

Author

Omar E. Pol, Mar 15 2014

Status

approved