Row sums of a Collatz triangle.

Terms

a(0) =1a(1) =3a(2) =7a(3) =15a(4) =20a(5) =23a(6) =29a(7) =41a(8) =65a(9) =82a(10) =93a(11) =100a(12) =114a(13) =123a(14) =141a(15) =177a(16) =202a(17) =251a(18) =284a(19) =349a(20) =392a(21) =478a(22) =535a(23) =574a(24) =652a(25) =805a(26) =910a(27) =1113a(28) =1248a(29) =1518