A245863 Number of preferential arrangements of n labeled elements such that the minimal number of elements per rank equals 10.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 184756, 705432, 1293292, 2288132, 3922512, 6537520, 10623470, 16872570, 26246220, 40060020, 5551056881370, 46931243394750, 261676870328640, 1068586476534720, 3799188975290280, 12437959723060872, 38494099921844952

Offset

10,11

Links

Alois P. Heinz, Table of n, a(n) for n = 10..400

Formula

E.g.f.: 1/(1-Sum_{j>=10} x^j/j!) - 1/(1-Sum_{j>=11} x^j/j!).

a(n) = A245795(n) - A245732(n,11) = A245732(n,10) - A245732(n,11).

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, 10) -b(n, 11):
seq(a(n), n=10..40);

Crossrefs

Column k=10 of A245733.

Cf. A245795, A245732.

Sequence in context: A268853 A024754 A024762 * A140933 A244173 A245795

Adjacent sequences: A245860 A245861 A245862 * A245864 A245865 A245866

Keyword

nonn

Author

Alois P. Heinz, Aug 04 2014

Status

approved