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Even numbers with a unique partition as the sum of 2 squares x^2 + y^2.
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%I #7 Mar 12 2020 09:04:57

%S 0,2,4,8,10,16,18,20,26,32,34,36,40,52,58,64,68,72,74,80,82,90,98,104,

%T 106,116,122,128,136,144,146,148,160,162,164,178,180,194,196,202,208,

%U 212,218,226,232,234,242,244,256,272,274,288,292,296,298,306,314

%N Even numbers with a unique partition as the sum of 2 squares x^2 + y^2.

%H Amiram Eldar, <a href="/A125021/b125021.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[2 * Range[0, 200], Length @ PowersRepresentations[#, 2, 2] == 1 &] (* _Amiram Eldar_, Mar 12 2020 *)

%Y Cf. A002145, A124982, A125022.

%K nonn

%O 1,2

%A _Artur Jasinski_, Nov 16 2006, corrected Nov 18 2006