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A322881
Number of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals eight.
2
0, 1, 131, 2837, 36733, 392532, 3862958, 36745885, 346270455, 3276723147, 31384368348, 305668217577, 3035028866706, 30761374688048, 318435571825333, 3367380704425616, 36376061350280633, 401367264163810215, 4522617803400779891, 52030240381937090624
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OFFSET
8,3
LINKS
Alois P. Heinz,
Table of n, a(n) for n = 8..580
Wikipedia,
Partition of a set
FORMULA
a(n) =
A287258
(n) -
A287257
(n).
MAPLE
b:= proc(n, k, m, l) option remember; `if`(n<1, 1,
`if`(l-n>k, 0, b(n-1, k, m+1, n))+m*b(n-1, k, m, l))
end:
A:= (n, k)-> b(n-1, min(k, n-1), 1, n):
a:= n-> (k-> A(n, k)-A(n, k-1))(8):
seq(a(n), n=8..30);
CROSSREFS
Column k=8 of
A287215
.
Cf.
A287257
,
A287258
.
Sequence in context:
A144247
A161197
A254641
*
A104596
A091743
A066621
Adjacent sequences:
A322878
A322879
A322880
*
A322882
A322883
A322884
KEYWORD
nonn
AUTHOR
Alois P. Heinz
, Dec 29 2018
STATUS
approved
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Last modified August 21 03:35 EDT 2024. Contains 375342 sequences. (Running on oeis4.)