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A245859
Number of preferential arrangements of n labeled elements such that the minimal number of elements per rank equals 6.
2
1, 0, 0, 0, 0, 0, 924, 3432, 6006, 10010, 16016, 24752, 17190264, 139729800, 748339320, 2910015528, 9794896188, 30251595066, 2396910064472, 33228482071400, 291616291666700, 2036218597884900, 11895959650285620, 61536913327513260, 1662981928016982300
OFFSET
6,7
LINKS
FORMULA
E.g.f.: 1/(1-Sum_{j>=6} x^j/j!) - 1/(1-Sum_{j>=7} x^j/j!).
a(n) = A245791(n) - A245792(n) = A245732(n,6) - A245732(n,7).
MAPLE
b:= proc(n, k) option remember; `if`(n=0, 1,
add(b(n-j, k)*binomial(n, j), j=k..n))
end:
a:= n-> b(n, 6) -b(n, 7):
seq(a(n), n=6..35);
CROSSREFS
Column k=6 of A245733.
Sequence in context: A024750 A024758 A347261 * A172224 A283577 A361608
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 04 2014
STATUS
approved