A180649 The difference A046682 - A180652.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 3, 1, 3, 5, 4, 3, 5, 5, 4, 10, 5, 9, 11, 7, 12, 17, 15, 19, 28, 19, 27, 33, 30, 32, 60, 30, 45, 56, 50, 51

Offset: 0

Author

Paul-Olivier Dehaye (pdehaye(AT)math.ethz.ch), Sep 14 2010

Keywords

• nonn

Comments

A046682 is a bound on the number of different multisets of hook lengths for partitions of n, A180652 is the actual count. So this sequence looks at collisions.

Examples

			It is trivial (by conjugation) that [6, 3, 3, 2] and [4, 4, 3, 1, 1, 1] have the same multiset of hook lengths. Similarly, the pair [5, 5, 2, 1, 1] and [5, 3, 2, 2, 2] are conjugate, so they have the same multiset of hook lengths. What is nontrivial is that those two multisets are the same, explaining the nonzero entry when n=14.
		

Crossrefs

Cf. A046682, A180652.

Extensions

a(41)-a(52) from Alois P. Heinz, Mar 22 2018