Assuming the truth of the Collatz conjecture, let {m, f(m), f(f(m)), ..., 1} be the set where f is the Collatz function. The sequence lists the numbers m such that m/phi(m) + f(m)/phi(f(m)) + f(f(m))/phi(f(f(m))) + ... + 1/phi(1) is an integer, where phi is the Euler totient function A000010.
A319385
Assuming the truth of the Collatz conjecture, let {m, f(m), f(f(m)), ..., 1} be the set where f is the Collatz function. The sequence lists the numbers m such that m/phi(m) + f(m)/phi(f(m)) + f(f(m))/phi(f(f(m))) + ... + 1/phi(1) is an integer, where phi is the Euler totient function A000010.
Terms
- a(0) =1a(1) =2a(2) =4a(3) =8a(4) =16a(5) =26a(6) =32a(7) =64a(8) =128a(9) =256a(10) =512a(11) =1024a(12) =1664a(13) =2048a(14) =3392a(15) =4096a(16) =8192a(17) =16384a(18) =32768a(19) =65536a(20) =106496a(21) =131072a(22) =262144a(23) =524288a(24) =1048576a(25) =2097152a(26) =4194304a(27) =6815744a(28) =8388608a(29) =16777216
External references
- oeis: A319385