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A hierarchical sequence (W2{2}c - see A059126).
3

%I #20 Sep 13 2022 09:34:49

%S 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,

%T 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,

%U 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

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

%H Antti Karttunen, <a href="/A059132/b059132.txt">Table of n, a(n) for n = 0..16383</a>

%H Jonas Wallgren, <a href="/A059126/a059126.txt">Hierarchical sequences</a>

%F 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

%F a(n) = A059126(3*n) + A059126(3*n+1) + A059126(3*n+2). - _Sean A. Irvine_, Sep 12 2022

%t Array[6 IntegerExponent[2 #, 2] - 2 &, 105] (* _Michael De Vlieger_, Nov 02 2018 *)

%o (PARI) A059132(n) = if(!(n%2), 4, 6+A059132((n-1)/2)); \\ _Antti Karttunen_, Nov 01 2018

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

%K easy,nonn

%O 0,1

%A _Jonas Wallgren_, Jan 19 2001