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A332946 Number of entries in the sixth blocks of all set partitions of [n] when blocks are ordered by increasing lengths. 2
1, 43, 617, 7681, 79756, 741665, 6467891, 54658254, 451897330, 3685879069, 30091146181, 248749105815, 2091117462980, 17933165800591, 157654535847037, 1426401197217090, 13303368764700743, 127934361462621048, 1268098183967052868, 12948542410221048226 (list; graph; refs; listen; history; text; internal format)
OFFSET

6,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 6..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, 6)[2]:

seq(a(n), n=6..25);

CROSSREFS

Column k=6 of A319298.

Sequence in context: A060888 A245427 A337214 * A229689 A146979 A337904

Adjacent sequences:  A332943 A332944 A332945 * A332947 A332948 A332949

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 03 2020

STATUS

approved

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Last modified October 5 20:00 EDT 2022. Contains 357261 sequences. (Running on oeis4.)