A084484 a(n) = A007088(A084483(n)).

1, 100, 11, 10, 1001, 1100, 111, 10000, 101, 10100, 10011, 110, 11001, 11100, 1111, 1000, 100001, 100100, 1011, 1010, 101001, 101100, 100111, 110000, 1101, 110100, 110011, 1110, 111001, 111100, 11111, 1000000, 10001, 1000100, 1000011, 10010, 1001001, 1001100

Offset: 1

Author

Reinhard Zumkeller, May 27 2003

Keywords

• nonn
• base

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000120, A007088, A023416, A070939, A084483.

Programs

Mathematica

s[n_] := s[n] = If[OddQ[n], 2*s[(n - 1)/2] + 1, If[EvenQ[IntegerExponent[n, 2]], n/2, 2*n]]; FromDigits[IntegerDigits[#, 2]]& /@ Array[s, 50] (* Amiram Eldar, Jul 22 2023 *)

Formula

a(n) = A007088(n) iff A000120(n) = A070939(n).