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A322879
Number of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals six.
2
0, 1, 35, 413, 3709, 30396, 242366, 1934021, 15653524, 129267234, 1091892025, 9444993005, 83722879838, 760771479660, 7087056828919, 67674638461955, 662248199987728, 6638947646238102, 68153572265860585, 716151632403862252, 7699437833837232406
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OFFSET
6,3
LINKS
Alois P. Heinz,
Table of n, a(n) for n = 6..581
Wikipedia,
Partition of a set
FORMULA
a(n) =
A287256
(n) -
A287255
(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))(6):
seq(a(n), n=6..30);
CROSSREFS
Column k=6 of
A287215
.
Cf.
A287255
,
A287256
.
Sequence in context:
A238539
A075664
A133317
*
A105947
A183846
A219936
Adjacent sequences:
A322876
A322877
A322878
*
A322880
A322881
A322882
KEYWORD
nonn
AUTHOR
Alois P. Heinz
, Dec 29 2018
STATUS
approved
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Last modified March 18 22:34 EDT 2024. Contains 370951 sequences. (Running on oeis4.)