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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

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OFFSET

10,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 10..576

Wikipedia, Partition of a set

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]: