Record sum of numbers in trajectory of 3x+1 problem.

Terms

a(0) =1a(1) =3a(2) =49a(3) =55a(4) =288a(5) =339a(6) =694a(7) =101440a(8) =101494a(9) =102316a(10) =105098a(11) =105224a(12) =105976a(13) =112748a(14) =119613a(15) =175427a(16) =471801a(17) =489736a(18) =4439569a(19) =4444724a(20) =4451595a(21) =4574267a(22) =14066483a(23) =14129690a(24) =14143733a(25) =14189802a(26) =17127881a(27) =83092220a(28) =83123423