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A332947 Number of entries in the seventh blocks of all set partitions of [n] when blocks are ordered by increasing lengths. 2
1, 57, 1045, 16126, 207131, 2351933, 24592218, 244969609, 2361155669, 22194089013, 205472269667, 1894376413748, 17523281149447, 163348288354057, 1541060427442896, 14781379209476531, 144692817107094283, 1449416720608086968, 14882752251954912426 (list; graph; refs; listen; history; text; internal format)
OFFSET

7,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 7..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, 7)[2]:

seq(a(n), n=7..25);

CROSSREFS

Column k=7 of A319298.

Sequence in context: A008390 A231311 A008922 * A116181 A336734 A333109

Adjacent sequences:  A332944 A332945 A332946 * A332948 A332949 A332950

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Mar 03 2020

STATUS

approved

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Last modified October 4 04:26 EDT 2022. Contains 357237 sequences. (Running on oeis4.)