Least number whose Collatz (3x+1) trajectory has a number greater than 10^n.

Terms

a(0) =1a(1) =3a(2) =15a(3) =27a(4) =255a(5) =703a(6) =1819a(7) =9663a(8) =26623a(9) =77671a(10) =159487a(11) =1212415a(12) =4637979a(13) =6631675a(14) =19638399a(15) =80049391a(16) =319804831a(17) =319804831a(18) =319804831a(19) =8528817511a(20) =59436135663a(21) =231913730799a(22) =272025660543a(23) =871673828443