Problem 66 in Knuth's Art of Computer Programming, vol. 4, section 7.2.1.5 asks which integer partition of n produces the most set partitions. The n-th term of this sequence is the number of set partitions produced by that integer partition.

A102356

Problem 66 in Knuth's Art of Computer Programming, vol. 4, section 7.2.1.5 asks which integer partition of n produces the most set partitions. The n-th term of this sequence is the number of set partitions produced by that integer partition.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =3a(4) =6a(5) =15a(6) =60a(7) =210a(8) =840a(9) =3780a(10) =12600a(11) =69300a(12) =415800a(13) =2702700a(14) =12612600a(15) =94594500a(16) =756756000a(17) =4288284000a(18) =38594556000a(19) =244432188000

External references