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a(n) = ceiling(log_2(A064630(n))).
3

%I #15 Jan 09 2024 16:12:58

%S 2,3,3,5,5,4,7,7,8,10,11,12,13,14,15,16,16,16,18,18,20,22,21,23,25,25,

%T 24,28,27,29,31,32,33,34,35,36,37,37,39,40,39,42,42,44,44,46,46,46,49,

%U 50,51,51,51,54,55,55,57,57,59,60,60,61,63,64,64,66,60,62,67,70,69,72

%N a(n) = ceiling(log_2(A064630(n))).

%C In A064630, using a greedy algorithm we write 4^n = x*3^n+y*2^n+z*1^n and A064630(n) = x+y+z. This sequence is a measure of the "length" or complexity of those solutions.

%F a(n) = A029837(A064630(n)) = ceiling(log_2(A064630(n))).

%Y Cf. A002379, A002380, A060692, A064628, A064629, A064630, A029837.

%K nonn

%O 1,1

%A _Labos Elemer_, Oct 01 2001

%E Initial terms corrected and entry revised by _Sean A. Irvine_, Jul 18 2023