A332950 Number of entries in the tenth blocks of all set partitions of [n] when blocks are ordered by increasing lengths.

1, 111, 3697, 97605, 2126580, 40204179, 681004277, 10645001317, 156970929310, 2213900198635, 30121302914917, 398061723460524, 5142929025812977, 65335359570066118, 819943536213362166, 10204014403455526051, 126342880437736660311, 1561117416681285339037

Offset: 10

Author

Alois P. Heinz, Mar 03 2020

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 10..576
• Wikipedia, Partition of a set

Crossrefs

Column k=10 of A319298.

Programs

Maple

b:= proc(n, i, t) option remember; `if`(n=0, [1, 0], `if`(i>n, 0,
      add((p-> p+`if`(t>0 and t-j<1, [0, p[1]*i], 0))(b(n-i*j, i+1,
      max(0, t-j))/j!*combinat[multinomial](n, i$j, n-i*j)), j=0..n/i)))
    end:
a:= n-> b(n, 1, 10)[2]:
seq(a(n), n=10..27);