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%I A332996 #11 Mar 10 2020 00:29:19
%S A332996 0,0,0,1,0,0,2,2,0,1,0,0,4,5,4,5,0,0,2,2,0,1,0,0,8,8,10,11,8,8,10,10,
%T A332996 0,1,0,0,4,5,4,5,0,0,2,2,0,1,0,0,16,17,16,17,20,20,22,23,16,17,16,16,
%U A332996 20,21,20,21,0,0,2,2,0,1,0,0,8,8,10,11,8,8,10,10,0,1,0,0,4,5,4,5,0,0,2,2,0,1,0,0,32,32,34,35,32,32,34,34,40,41
%N A332996 a(n) = A332896(A332817(n)).
%C A332996 In contrast to similarly constructed A292274, this sequence can be computed directly from the binary expansion of n, without involving primes or their distribution at all.
%H A332996 Antti Karttunen, <a href="/A332996/b332996.txt">Table of n, a(n) for n = 0..16383</a>
%H A332996 Antti Karttunen, <a href="/A332996/a332996.txt">Data supplement: n, a(n) computed for n = 0..65537</a>
%H A332996 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F A332996 a(n) = A332896(A332817(n)).
%F A332996 a(n) = n - A332995(n) = n XOR A332995(n).
%F A332996 A000120(a(n)) = A332998(n).
%o A332996 (PARI) A332996(n) = A332896(A332817(n));
%Y A332996 Cf. A292274, A332817, A332896, A332995, A332998.
%Y A332996 Differs from a similarly constructed A292592 for the first time at n=511, where a(511) = 170, while A292592(511) = 171.
%K A332996 nonn
%O A332996 0,7
%A A332996 _Antti Karttunen_, Mar 05 2020

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