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A087055
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Largest square number less than 2*n^2.
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6
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1, 4, 16, 25, 49, 64, 81, 121, 144, 196, 225, 256, 324, 361, 441, 484, 576, 625, 676, 784, 841, 961, 1024, 1089, 1225, 1296, 1444, 1521, 1681, 1764, 1849, 2025, 2116, 2304, 2401, 2500, 2704, 2809, 3025, 3136, 3249, 3481, 3600, 3844, 3969, 4225, 4356, 4489
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = A001951(n)^2 = floor(n*sqrt(2))^2.
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EXAMPLE
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a(10) = 196 because 196 is the largest square less than 2*10^2 = 200.
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MATHEMATICA
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Table[Floor[Sqrt[2n^2-1]], {n, 100}]^2 (* Harvey P. Dale, Mar 26 2011 *)
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PROG
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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