A358892 - OEIS

%I #10 Dec 07 2022 15:00:44

%S 0,3,10,12,15,36,40,43,45,48,51,53,54,58,60,63,136,144,147,149,153,

%T 160,163,165,169,170,172,175,178,180,183,187,192,195,197,201,202,204,

%U 207,210,212,215,216,219,221,228,232,235,237,238,240,243,245,246,250,252

%N Numbers obtained by self-shuffling the binary expansion of nonnegative numbers.

%C This sequence lists the distinct values in A358893, in ascending order.

%C For any n > 0, there are A191755(n)/2 terms with binary length 2*n.

%C All terms are evil (A001969) and have an even number of binary digits (A053754).

%H Rémy Sigrist, <a href="/A358892/a358892.gp.txt">PARI program</a>

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

%e The binary expansion of 204 is "11001100" and can be obtained by self-shuffling the binary expansion of 10 ("1010") or 12 ("1100"), so 204 is a term.

%o (PARI) See Links section.

%Y Cf. A001969, A053754, A191755, A358893.

%K nonn,base

%O 1,2

%A _Rémy Sigrist_, Dec 05 2022