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A322882
Number of set partitions of [n] such that the maximal absolute difference between the least elements of consecutive blocks equals nine.
2
0, 1, 259, 7851, 123693, 1517480, 16628928, 172861375, 1757583339, 17780116911, 180778826049, 1858914009077, 19407229306905, 206203531592425, 2232778235440364, 24655217395787251, 277719538910592762, 3191229583066629810, 37404691679158439649
OFFSET
9,3
LINKS
FORMULA
a(n) = A287259(n) - A287258(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))(9):
seq(a(n), n=9..30);
CROSSREFS
Column k=9 of A287215.
Sequence in context: A309763 A344193 A254642 * A256594 A229433 A022221
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Dec 29 2018
STATUS
approved