StirlingS2[ n,m ] triangle summed down the columns.

Terms

a(0) =0a(1) =1a(2) =1a(3) =2a(4) =4a(5) =1a(6) =3a(7) =11a(8) =7a(9) =1a(10) =4a(11) =26a(12) =32a(13) =11a(14) =1a(15) =5a(16) =57a(17) =122a(18) =76a(19) =16a(20) =1a(21) =6a(22) =120a(23) =423a(24) =426a(25) =156a(26) =22a(27) =1a(28) =7a(29) =247