A365985 Triangular array read by rows: T(n,k) is the number of binary relations on [n] that are dense (A355730) and have exactly k strongly connected components, n>=0, 0<=k<=n.

1, 0, 2, 0, 3, 10, 0, 85, 114, 134, 0, 13317, 10029, 6972, 4606, 0, 8300125, 4026580, 1756610, 866300, 389882, 0, 19743155103, 6020248905, 1736497215, 589363590, 231745290, 78631330

Offset

0,3

Links

Table of n, a(n) for n=0..27.

Wikipedia, Dense order.

Example

Triangle begins ...
  1;
  0,     2;
  0,     3,    10;
  0,    85,   114,  134;
  0, 13317, 10029, 6972, 4606;
  ...

Crossrefs

Cf. A355730 (row sums).

Sequence in context: A255384 A236396 A251592 * A327244 A325816 A121065

Adjacent sequences: A365982 A365983 A365984 * A365986 A365987 A365988

Keyword

nonn,tabl,more

Author

Geoffrey Critzer, Sep 24 2023

Extensions

Row n = 5 from Pontus von Brömssen, Sep 24 2023

Row n = 6 from Pontus von Brömssen, Sep 25 2023

Status

approved