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.

2, 25, 29, 37, 61, 65, 72, 100, 101, 106, 130, 136, 137, 157, 169, 200, 202, 205, 226, 232, 234, 241, 274, 277, 289, 340, 353, 389, 400, 409, 416, 421, 436, 442, 445, 466, 490, 514, 520, 522, 562, 577, 596, 610, 625, 637, 640, 661, 666, 676, 697, 724, 757, 765, 785, 794, 820

Offset: 1

Author

Alex Ratushnyak, Nov 03 2015

Keywords

• nonn

Comments

Intersection of A000404, A051533, A133254.

Examples

			a(1) = 2 = 1+1.
25 is a term because 25 = 16 + 9 = 10 + 15 = 4 + 21, and 16, 9, 4 are squares, 10, 15, 21 are triangular numbers.
		

Crossrefs

Cf. A000217, A000290, A000404, A051533, A133254, A264101.