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A264118 Numbers that can be represented as S1+S2, as T1+T2, and as S3+T3, where S1, S2, S3 are positive squares, and T1, T2, T3 are positive triangular numbers.

%I A264118 #4 Dec 05 2015 00:14:58
%S A264118 2,25,29,37,61,65,72,100,101,106,130,136,137,157,169,200,202,205,226,
%T A264118 232,234,241,274,277,289,340,353,389,400,409,416,421,436,442,445,466,
%U A264118 490,514,520,522,562,577,596,610,625,637,640,661,666,676,697,724,757,765,785,794,820
%N A264118 Numbers that can be represented as S1+S2, as T1+T2, and as S3+T3, where S1, S2, S3 are positive squares, and T1, T2, T3 are positive triangular numbers.
%C A264118 Intersection of A000404, A051533, A133254.
%e A264118 a(1) = 2 = 1+1.
%e A264118 25 is a term because 25 = 16 + 9 = 10 + 15 = 4 + 21, and 16, 9, 4 are squares, 10, 15, 21 are triangular numbers.
%Y A264118 Cf. A000217, A000290, A000404, A051533, A133254, A264101.
%K A264118 nonn
%O A264118 1,1
%A A264118 _Alex Ratushnyak_, Nov 03 2015