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 A289520 Numbers that are the sum of distinct squares of triangular numbers (A000537). 0
 0, 1, 9, 10, 36, 37, 45, 46, 100, 101, 109, 110, 136, 137, 145, 146, 225, 226, 234, 235, 261, 262, 270, 271, 325, 326, 334, 335, 361, 362, 370, 371, 441, 442, 450, 451, 477, 478, 486, 487, 541, 542, 550, 551, 577, 578, 586, 587, 666, 667, 675, 676, 702, 703, 711, 712, 766, 767, 775, 776, 784, 785, 793, 794 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS FORMULA Exponents in expansion of Product_{k>=1} (1 + x^(k*(k+1)/2)^2). EXAMPLE 37 is in the sequence because 37 = 1 + 36 = 1^2 + (1 + 2 + 3)^2 = 1^3 + 1^3 + 2^3 + 3^3. MATHEMATICA max = 800; f[x_] := Product[1 + x^(k (k + 1)/2)^2, {k, 1, 10}]; Exponent[#, x] & /@ List @@ Normal[Series[f[x], {x, 0, max}]] CROSSREFS Cf. A000537, A003997, A061208. Sequence in context: A322653 A322465 A119209 * A038206 A154389 A041172 Adjacent sequences:  A289517 A289518 A289519 * A289521 A289522 A289523 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Jul 14 2017 STATUS approved

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Last modified February 23 05:58 EST 2019. Contains 320411 sequences. (Running on oeis4.)