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%I #41 Sep 08 2022 08:44:32
%S 0,1,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,
%T 5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
%U 6,6,6,6,6,6,6,6,6,6,6,6,6
%N a(n) = round(log_2(n)).
%H T. D. Noe, <a href="/A004257/b004257.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = floor(log_2(sqrt(2)*n)). - _Velin Yanev_, Dec 11 2016
%F a(n) = A000523(n^2) - A000523(n). - _Mikhail Kurkov_, Sep 11 2019
%t Round[Log[2,Range[90]]] (* _Harvey P. Dale_, Aug 26 2014 *)
%o (PARI) a(n) = round(log(n)/log(2)); \\ _Michel Marcus_, Dec 11 2016
%o (PARI) a(n) = {logint(n^2,2) - logint(n,2)} \\ _Andrew Howroyd_, Sep 11 2019
%o (Magma) [Round(Log(2,n)):n in [1..90]]; // _Marius A. Burtea_, Aug 02 2019
%Y Cf. A000523 (floored).
%K nonn
%O 1,3
%A _N. J. A. Sloane_
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