Triangle read by rows: number of idempotent basis elements of rank k in partition monoid P_n.

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =5a(5) =1a(6) =0a(7) =43a(8) =15a(9) =1a(10) =0a(11) =529a(12) =247a(13) =30a(14) =1a(15) =0a(16) =8451a(17) =4795a(18) =805a(19) =50a(20) =1a(21) =0a(22) =167397a(23) =108871a(24) =22710a(25) =1985a(26) =75a(27) =1a(28) =0a(29) =3984807