Triangle by rows, binomial transform of the beheaded Pascal's triangle A074909.

Terms

a(0) =1a(1) =2a(2) =2a(3) =4a(4) =7a(5) =3a(6) =8a(7) =19a(8) =15a(9) =4a(10) =16a(11) =47a(12) =52a(13) =26a(14) =5a(15) =32a(16) =111a(17) =155a(18) =110a(19) =40a(20) =6a(21) =64a(22) =255a(23) =426a(24) =385a(25) =200a(26) =57a(27) =7a(28) =128a(29) =575