A332996 - OEIS

%I #11 Mar 10 2020 00:29:19

%S 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 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 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 a(n) = A332896(A332817(n)).

%C 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 Antti Karttunen, <a href="/A332996/b332996.txt">Table of n, a(n) for n = 0..16383</a>

%H Antti Karttunen, <a href="/A332996/a332996.txt">Data supplement: n, a(n) computed for n = 0..65537</a>

%H <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>

%F a(n) = A332896(A332817(n)).

%F a(n) = n - A332995(n) = n XOR A332995(n).

%F A000120(a(n)) = A332998(n).

%o (PARI) A332996(n) = A332896(A332817(n));

%Y Cf. A292274, A332817, A332896, A332995, A332998.

%Y Differs from a similarly constructed A292592 for the first time at n=511, where a(511) = 170, while A292592(511) = 171.

%K nonn

%O 0,7

%A _Antti Karttunen_, Mar 05 2020