Initial number for record sum of numbers in trajectory of 3x+1 problem.

Terms

a(0) =1a(1) =2a(2) =3a(3) =6a(4) =7a(5) =9a(6) =15a(7) =27a(8) =54a(9) =55a(10) =63a(11) =126a(12) =171a(13) =199a(14) =231a(15) =327a(16) =447a(17) =639a(18) =703a(19) =937a(20) =1249a(21) =1407a(22) =1819a(23) =1915a(24) =2553a(25) =3831a(26) =4095a(27) =4255a(28) =5673a(29) =8511