A250107 Column 3 of triangle in A250104 (or A124323).

1, 0, 10, 20, 140, 616, 3444, 19440, 117975, 753500, 5068492, 35764092, 264044235, 2034636800, 16327586760, 136180742640, 1178372198220, 10561041814380, 97889061389210, 937053052507880, 9252175434771885, 94115781485796488, 985250825472122200

Offset

3,3

Links

Table of n, a(n) for n=3..25.

T. Mansour, A. O. Munagi, Set partitions with circular successions, European Journal of Combinatorics, 42 (2014), 207-216.

Maple

A250107 := proc(n)
    A124323(n, 3) ;
end proc:
seq(A250107(n), n=3..50) ; # R. J. Mathar, Jan 22 2015

Mathematica

t[0, 0] = 0; t[1, 0] = 1; t[1, 1] = 0;
t[n_, k_] := Binomial[n, k] ((-1)^(n-k) + Sum[(-1)^(j-1) BellB[n-k-j], {j, 1, n-k}]);
Table[t[n, 3], {n, 3, 25}] (* Jean-François Alcover, Mar 30 2020 *)

Crossrefs

Cf. A250104, A124323.

Sequence in context: A154330 A006993 A327971 * A038693 A217318 A239237

Adjacent sequences: A250104 A250105 A250106 * A250108 A250109 A250110

Keyword

nonn

Author

N. J. A. Sloane, Nov 16 2014

Status

approved