T(n,k) counts the set partitions of n containing k-1 blocks of length 1.

Terms

a(0) =1a(1) =1a(2) =3a(3) =4a(4) =4a(5) =6a(6) =11a(7) =20a(8) =10a(9) =10a(10) =41a(11) =66a(12) =60a(13) =20a(14) =15a(15) =162a(16) =287a(17) =231a(18) =140a(19) =35a(20) =21a(21) =715a(22) =1296a(23) =1148a(24) =616a(25) =280a(26) =56a(27) =28a(28) =3425a(29) =6435