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A333712
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Numbers k that can be written as the sum of two nonzero squares whose difference divides k^2.
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0
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40, 45, 136, 160, 180, 325, 360, 369, 405, 544, 640, 720, 936, 1000, 1125, 1224, 1225, 1300, 1440, 1476, 1620, 1800, 1960, 2080, 2176, 2205, 2560, 2664, 2880, 2925, 3240, 3321, 3400, 3645, 3744, 3825, 4000, 4500, 4840, 4896, 4900, 5200, 5445, 5760, 5800, 5904
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OFFSET
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1,1
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LINKS
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EXAMPLE
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40 is in the sequence since 40 = 4 + 36 (both squares) and (36 - 4) = 32 | 40^2 = 1600.
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MATHEMATICA
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Flatten[Table[If[Sum[(Floor[Sqrt[i]] - Floor[Sqrt[i - 1]]) (Floor[Sqrt[n - i]] - Floor[Sqrt[n - i - 1]]) (1 - Ceiling[n^2/(n - 2 i)] + Floor[n^2/(n - 2 i)]), {i, Floor[(n - 1)/2]}] > 0, n, {}], {n, 500}]]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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