%I #18 Feb 06 2021 06:27:51
%S 169,225,289,625,676,841,900,1156,1225,1369,1521,1681,2025,2500,2601,
%T 2704,2809,3025,3364,3600,3721,4225,4624,4900,5329,5476,5625,6084,
%U 6724,7225,7569,7921,8100,8281,9025,9409,10000,10201,10404,10816,11025,11236,11881,12100,12321,12769,13225,13456,13689,14161
%N Squares that are also sums of 2 and 3 nonzero squares.
%C All terms == {0, 1} (mod 4).
%C Intersection of A000290, A000404 and A000408.
%C A square n^2 is the sum of k positive squares for all 1 <= k <= n^2 - 14 iff n^2 is the sum of 2 and 3 positive squares (see A309778 and proof in Kuczma) . Consequently this is a duplicate of A018820. - _Bernard Schott_, Aug 17 2019
%D Marcin E. Kuczma, International Mathematical Olympiads, 1986-1999, The Mathematical Association of America, 2003, pages 76-79.
%H Zak Seidov and Chai Wah Wu, <a href="/A231632/b231632.txt">Table of n, a(n) for n = 1..10000</a> n = 1..100 from Zak Seidov
%e 169 = 13^2 = 5^2 + 12^2 = 3^2 + 4^2 + 12^2;
%e 225 = 15^2 = 9^2 + 12^2 = 2^2 + 5^2 + 14^2.
%Y Cf. A000290, A000404, A000408, A018820.
%K dead
%O 1,1
%A _Zak Seidov_, Nov 12 2013