cp's OEIS Frontend

A115424 Integers n > 0 such that n XOR 62*n = 63*n.

%I A115424 #12 Oct 31 2021 15:27:41
%S A115424 1,2,4,8,16,32,64,65,128,129,130,256,257,258,260,512,513,514,516,520,
%T A115424 1024,1025,1026,1028,1032,1040,2048,2049,2050,2052,2056,2064,2080,
%U A115424 4096,4097,4098,4100,4104,4112,4128,4160,4161,8192,8193,8194,8196,8200,8208
%N A115424 Integers n > 0 such that n XOR 62*n = 63*n.
%H A115424 Ivan Neretin, <a href="/A115424/b115424.txt">Table of n, a(n) for n = 1..10000</a>
%F A115424 This sequence also seems to satisfy:
%F A115424 3*a(n) XOR 41*a(n) = 42*a(n);
%F A115424 5*a(n) XOR 35*a(n) = 38*a(n);
%F A115424 6*a(n) XOR 35*a(n) = 37*a(n);
%F A115424 7*a(n) XOR 35*a(n) = 36*a(n); etc.
%t A115424 Select[Range[8300],BitXor[#,62 #]==63 #&] (* _Harvey P. Dale_, Oct 31 2021 *)
%o A115424 (Perl)
%o A115424 $cnt=0;
%o A115424 foreach(1..8_000){
%o A115424     print ++$cnt," $_\n" if ((62*$_)^$_)==63*$_;
%o A115424 }
%o A115424 # _Ivan Neretin_, Nov 11 2016
%o A115424 (PARI) isok(n) = bitxor(n, 62*n) == 63*n; \\ _Michel Marcus_, Nov 11 2016
%Y A115424 Cf. A003714 (Fibbinary numbers), A048715, A048718, A115422, A115423.
%K A115424 nonn
%O A115424 1,2
%A A115424 _Paul D. Hanna_, Jan 22 2006