This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A180649 The difference A046682 - A180652. 1

%I

%S 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,

%T 9,11,7,12,17,15,19,28,19,27,33,30,32,60,30,45,56,50,51

%N The difference A046682 - A180652.

%C 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.

%e 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.

%Y Cf. A046682, A180652.

%K nonn

%O 0,18

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

%E a(41)-a(52) from _Alois P. Heinz_, Mar 22 2018

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 9 17:18 EST 2019. Contains 329879 sequences. (Running on oeis4.)