Number of distinct terms at a given iteration of the Collatz (or 3x+1) map starting with 0.

Terms

a(0) =1a(1) =2a(2) =4a(3) =8a(4) =15a(5) =29a(6) =56a(7) =108a(8) =208a(9) =400a(10) =766a(11) =1465a(12) =2793a(13) =5314a(14) =10088a(15) =19115a(16) =36156a(17) =68290a(18) =128817a(19) =242720a(20) =456884a(21) =859269a(22) =1614809a(23) =3032673a(24) =5692145a(25) =10678326a(26) =20023239a(27) =37531218a(28) =70323203a(29) =131725663