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A334076 a(n) = bitwise NOR of n and 2n. 1

%I #37 Apr 18 2020 17:09:53

%S 0,0,1,0,3,0,1,0,7,4,1,0,3,0,1,0,15,12,9,8,3,0,1,0,7,4,1,0,3,0,1,0,31,

%T 28,25,24,19,16,17,16,7,4,1,0,3,0,1,0,15,12,9,8,3,0,1,0,7,4,1,0,3,0,1,

%U 0,63,60,57,56,51,48,49,48,39,36,33,32,35,32,33

%N a(n) = bitwise NOR of n and 2n.

%C Exactly all bits that are 0 in both parameters (but not a leading 0 of both) are set to 1 in the output of bitwise NOR.

%H Alois P. Heinz, <a href="/A334076/b334076.txt">Table of n, a(n) for n = 0..32767</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Bitwise operation">Bitwise operation</a>

%F a(n) = 0 <=> n in { A247648 } union { 0 }.

%F a(n) = n-1 <=> n in { A000079 }.

%F a(n) = n/2 <=> n in { A125835 }.

%F a(n) = n*3/4 <=> n in { A141032 }.

%p a:= n-> Bits[Nor](n, 2*n):

%p seq(a(n), n=0..127);

%o (Python)

%o def A334076(n):

%o m = n|(2*n)

%o return 0 if n == 0 else 2**(len(bin(m))-2)-1-m # _Chai Wah Wu_, Apr 14 2020

%o (PARI) a(n) = my(x=bitor(n, 2*n)); bitneg(x, #binary(x)); \\ _Michel Marcus_, Apr 14 2020

%Y Cf. A000079, A048724, A125835, A141032, A163617, A213370, A247648.

%K nonn,look,base

%O 0,5

%A _Alois P. Heinz_, Apr 13 2020

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Last modified May 5 05:35 EDT 2024. Contains 372257 sequences. (Running on oeis4.)