Triangle read by rows, derived from A007318, row sums = the Bell Sequence.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =1a(7) =3a(8) =5a(9) =6a(10) =1a(11) =4a(12) =9a(13) =17a(14) =21a(15) =1a(16) =5a(17) =14a(18) =34a(19) =67a(20) =82a(21) =1a(22) =6a(23) =20a(24) =58a(25) =148a(26) =290a(27) =354a(28) =1a(29) =7