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A333064 Number of entries in the seventh blocks of all set partitions of [n] when blocks are ordered by decreasing lengths. 2
1, 29, 499, 6676, 77078, 810470, 8016373, 76334142, 713507667, 6658565009, 62882380589, 606149817728, 5983648334738, 60440402586898, 622934996801505, 6532386995235676, 69575530733726891, 752420279343383619, 8269751757387345271, 92538014365261646366 (list; graph; refs; listen; history; text; internal format)
OFFSET
7,2
LINKS
MAPLE
b:= proc(n, i, t) option remember; `if`(n=0, [1, 0], `if`(i<1, 0,
add((p-> p+`if`(t>0 and t-j<1, [0, p[1]*i], 0))(
combinat[multinomial](n, i$j, n-i*j)/j!*
b(n-i*j, min(n-i*j, i-1), max(0, t-j))), j=0..n/i)))
end:
a:= n-> b(n$2, 7)[2]:
seq(a(n), n=7..26);
CROSSREFS
Column k=7 of A319375.
Sequence in context: A022753 A225969 A211560 * A228217 A305315 A225899
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 06 2020
STATUS
approved

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)