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%I #13 Oct 12 2024 14:43:47
%S 1,3,5,7,9,15,17,21,25,27,31,35,45,49,51,63,73,75,81,85,93,105,107,
%T 119,125,127,135,143,147,153,155,175,189,217,219,225,243,245,255,257,
%U 279,289,313,315,321,343,357,365,375,381,405,425,429,441,443,459,465,511,525,527,535
%N Fixed points of A162742.
%C First differs from A342572 at n = 28. In the present sequence a(28) = 143 = 11 * 13: 11 and 13 are the binary reversals of each other but neither is a binary palindrome, so 143 is not in A342572.
%H Paolo Xausa, <a href="/A376857/b376857.txt">Table of n, a(n) for n = 1..10000</a>
%t A376857Q[k_] := k == Times @@ (IntegerReverse[#1, 2]^#2 & @@@ FactorInteger[k]);
%t Select[Range[1000], A376857Q]
%o (Python) # uses function, imports in A162742
%o def ok(n): return n > 0 and n == A162742(n)
%o print([k for k in range(536) if ok(k)]) # _Michael S. Branicky_, Oct 07 2024
%Y Cf. A162742. Supersequence of A342572.
%K nonn,base
%O 1,2
%A _Paolo Xausa_, Oct 07 2024