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Sum of iterated logs; a(n) = 0 if n = 0; otherwise n + a(floor(log_2(n))).
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%I #12 Dec 25 2023 17:43:37

%S 0,1,3,4,7,8,9,10,12,13,14,15,16,17,18,19,23,24,25,26,27,28,29,30,31,

%T 32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,

%U 56,57,58,59,60,61,62,63,64,65,66,67,68

%N Sum of iterated logs; a(n) = 0 if n = 0; otherwise n + a(floor(log_2(n))).

%e a(5) = 5 + a(2) = 5 + 2 + a(1) = 5 + 2 + 1 + a(0) = 8.

%Y Cf. A216761.

%K nonn

%O 0,3

%A _Jeffrey Shallit_, Nov 30 2013