A215673 a(1) = 1, a(2n) = a(n)+1, a(2n+1) = a(n)+a(n+1)+1.

1, 2, 4, 3, 7, 5, 8, 4, 11, 8, 13, 6, 14, 9, 13, 5, 16, 12, 20, 9, 22, 14, 20, 7, 21, 15, 24, 10, 23, 14, 19, 6, 22, 17, 29, 13, 33, 21, 30, 10, 32, 23, 37, 15, 35, 21, 28, 8, 29, 22, 37, 16, 40, 25, 35, 11, 34, 24, 38, 15, 34, 20, 26, 7, 29, 23, 40, 18, 47, 30

Offset

1,2

Comments

In the S.-H. Cha reference this is function fog_2(n).

Links

Alois P. Heinz, Table of n, a(n) for n = 1..8192

S.-H. Cha, On Parity based Divide and Conquer Recursive Functions, International Conference on Computer Science and Applications, San Francisco, USA, 24-26 October 2012

Maple

a:= proc(n) option remember; 1+ `if`(n=1, 0,
      `if`(irem(n, 2, 'r')=0, a(r), a(r)+a(r+1)))
    end:
seq(a(n), n=1..80);  # Alois P. Heinz, Aug 23 2012

Mathematica

a[1] = 1;
a[n_] := a[n] = If[EvenQ[n], a[n/2] + 1, a[(n-1)/2] + a[(n-1)/2 + 1] + 1];
Array[a, 80] (* Jean-François Alcover, Jun 16 2018 *)

Crossrefs

Cf. A215674, A215675, A215676.

Sequence in context: A064357 A191735 A191666 * A352716 A120619 A346298

Adjacent sequences: A215670 A215671 A215672 * A215674 A215675 A215676

Keyword

nonn

Author

Sung-Hyuk Cha, Aug 20 2012

Status

approved