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Fixed points of permutation A209861/A209862.
6

%I #8 Mar 30 2012 17:23:15

%S 0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,29,30,31,32,33,34,61,62,63,

%T 64,65,66,73,118,125,126,127,128,129,130,148,235,253,254,255,256,257,

%U 258,274,493,509,510,511,512,513,514,651,689,710,825,846,884,1021,1022,1023,1024,1025,1026,1097,1974,2045,2046,2047,2048,2049

%N Fixed points of permutation A209861/A209862.

%C Conjecture: for every a(n), also A054429(a(n)) is in the sequence. Conversely, if i is not in the sequence, then neither is A054429(i).

%H Antti Karttunen, <a href="/A209860/b209860.txt">Table of n, a(n) for n = 0..171</a>

%F Those i, for which A209861(i)=i, or equally A209862(i)=i.

%Y A209863 gives the number of these fixed points in each range [2^(n-1),(2^n)-1].

%K nonn

%O 0,3

%A _Antti Karttunen_, Mar 24 2012