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A331585 a(n) is the greatest k such that A092213(n) = k + reverse(k) (where reverse(k) is the binary reverse of k, A030101(k)).

%I A331585 #11 Jan 22 2020 12:56:53
%S A331585 0,1,2,4,3,8,5,7,12,16,9,14,13,20,24,15,32,17,28,26,21,25,40,48,29,27,
%T A331585 44,31,56,64,33,50,60,41,72,49,80,45,62,57,96,88,51,84,61,59,104,112,
%U A331585 92,63,128,65,98,120,116,73,106,81,144,124,97,160,89,122,85
%N A331585 a(n) is the greatest k such that A092213(n) = k + reverse(k) (where reverse(k) is the binary reverse of k, A030101(k)).
%H A331585 Rémy Sigrist, <a href="/A331585/b331585.txt">Table of n, a(n) for n = 0..7528</a>
%H A331585 Rémy Sigrist, <a href="/A331585/a331585.gp.txt">PARI program for A331585</a>
%F A331585 a(n) + A030101(a(n)) = A092213(n).
%F A331585 a(n) >= A330340(n).
%e A331585 For n = 5:
%e A331585 - A092213(5) = 9,
%e A331585 - 8 is the greatest k such that k + reverse(k) = 9,
%e A331585 - so a(5) = 8.
%o A331585 (PARI) See Links section.
%Y A331585 Cf. A030101, A055944, A092213, A330340.
%K A331585 nonn,base
%O A331585 0,3
%A A331585 _Rémy Sigrist_, Jan 21 2020