Number T(n,k) of colored set partitions of [n] where colors of the elements of subsets are in (weakly) increasing order and exactly k colors are used; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

A321296

Number T(n,k) of colored set partitions of [n] where colors of the elements of subsets are in (weakly) increasing order and exactly k colors are used; triangle T(n,k), n>=0, 0<=k<=n, read by rows.

Terms

    a(0) =1a(1) =0a(2) =1a(3) =0a(4) =2a(5) =3a(6) =0a(7) =5a(8) =20a(9) =16a(10) =0a(11) =15a(12) =122a(13) =237a(14) =131a(15) =0a(16) =52a(17) =774a(18) =2751a(19) =3524a(20) =1496a(21) =0a(22) =203a(23) =5247a(24) =30470a(25) =68000a(26) =65055a(27) =22482a(28) =0a(29) =877

External references