Triangle read by rows: T(n,k) (n>=5, k=3..n-2) is the number of topologies t on n points having exactly k open sets such that t contains exactly one open set of size m for each m in {0,4,5,6,...,s,n} where s is the size of the largest proper open set in t.
A268222
Triangle read by rows: T(n,k) (n>=5, k=3..n-2) is the number of topologies t on n points having exactly k open sets such that t contains exactly one open set of size m for each m in {0,4,5,6,...,s,n} where s is the size of the largest proper open set in t.
Terms
- a(0) =5a(1) =15a(2) =30a(3) =35a(4) =105a(5) =210a(6) =70a(7) =280a(8) =840a(9) =1680a(10) =126a(11) =630a(12) =2520a(13) =7560a(14) =15120a(15) =210a(16) =1260a(17) =6300a(18) =25200a(19) =75600a(20) =151200a(21) =330a(22) =2310a(23) =13860a(24) =69300a(25) =277200a(26) =831600a(27) =1663200a(28) =495a(29) =3960
External references
- oeis: A268222