A059132 A hierarchical sequence (W2{2}c - see A059126).

4, 10, 4, 16, 4, 10, 4, 22, 4, 10, 4, 16, 4, 10, 4, 28, 4, 10, 4, 16, 4, 10, 4, 22, 4, 10, 4, 16, 4, 10, 4, 34, 4, 10, 4, 16, 4, 10, 4, 22, 4, 10, 4, 16, 4, 10, 4, 28, 4, 10, 4, 16, 4, 10, 4, 22, 4, 10, 4, 16, 4, 10, 4, 40, 4, 10, 4, 16, 4, 10, 4, 22, 4, 10, 4, 16, 4, 10, 4, 28, 4, 10, 4, 16

Offset: 0

Author

Jonas Wallgren, Jan 19 2001

Keywords

• easy
• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..16383
• Jonas Wallgren, Hierarchical sequences

Crossrefs

Cf. A007814, A059126, A059134, A059137, A059139.

Programs

Mathematica

Array[6 IntegerExponent[2 #, 2] - 2 &, 105] (* Michael De Vlieger, Nov 02 2018 *)

PARI

A059132(n) = if(!(n%2), 4, 6+A059132((n-1)/2)); \\ Antti Karttunen, Nov 01 2018

Formula

a(n) = 4 + 6*A007814(n+1). a(2n) = 4, a(2n+1) = a(n) + 6. - Ralf Stephan, Oct 09 2003. Typo in the first formula corrected by Antti Karttunen, Nov 01 2018

a(n) = A059126(3*n) + A059126(3*n+1) + A059126(3*n+2). - Sean A. Irvine, Sep 12 2022