Binomial transform of the "1,2,3,..." triangle.

Terms

a(0) =1a(1) =3a(2) =3a(3) =9a(4) =11a(5) =6a(6) =26a(7) =32a(8) =27a(9) =10a(10) =72a(11) =86a(12) =85a(13) =54a(14) =15a(15) =192a(16) =222a(17) =233a(18) =189a(19) =95a(20) =21a(21) =496a(22) =558a(23) =597a(24) =549a(25) =371a(26) =153a(27) =28a(28) =1248a(29) =1374