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%I #38 Aug 31 2020 02:40:13
%S 5,9,10,13,17,18,20,21,23,26,29,33,34,36,37,39,40,42,43,46,47,51,52,
%T 58,61,65,66,68,69,71,72,73,74,75,77,78,80,81,84,85,86,89,92,93,94,95,
%U 101,102,104,107,109,113,115,116,122,125,129,130,132,133,135,136,137
%N The union of odious numbers with evil squares and evil numbers with odious squares.
%C Numbers n with odd sum of binary weight of n and binary weight of n^2.
%C Primes are in this sequence: 5, 13, 17, 23, 29, 37, 43, 47, 61, 71, 73,....
%C Evil numbers with odious squares: 5, 9, 10, 17, 18, 20, 23, 29, 33, 34,...
%C Odious numbers with evil squares: 13, 21, 26, 37, 42, 47, 52, 61, 69,...
%H Amiram Eldar, <a href="/A234037/b234037.txt">Table of n, a(n) for n = 1..10000</a>
%e a(3) = 10 because 2 (binary weight of 10) + 3 (binary weight of 100) = 5 (odd).
%e a(4) = 13 because 3 (binary weight of 13) + 4 (binary weight of 169) = 7 (odd).
%t Select[Range[100], Mod[DigitCount[#, 2, 1], 2] != Mod[DigitCount[#^2, 2, 1], 2] &] (* _Amiram Eldar_, Aug 31 2020 *)
%Y Cf. A000069, A000120, A001969, A159918, A231431, A235001.
%K nonn,base
%O 1,1
%A _Gerasimov Sergey_, Jan 13 2014
%E Wrong term removed by _Amiram Eldar_, Aug 31 2020
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