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A293402
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The integer k that minimizes |k/n^2 - tau|, where tau = (1+sqrt(5))/2 (golden ratio).
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6
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0, 2, 6, 15, 26, 40, 58, 79, 104, 131, 162, 196, 233, 273, 317, 364, 414, 468, 524, 584, 647, 714, 783, 856, 932, 1011, 1094, 1180, 1269, 1361, 1456, 1555, 1657, 1762, 1870, 1982, 2097, 2215, 2336, 2461, 2589
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = floor(1/2 + tau*n^2).
a(n) = A293400(n) if (fractional part of tau*n^2) < 1/2, else a(n) = A293401(n).
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MATHEMATICA
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z = 120; r = GoldenRatio;
Table[Floor[r*n^2], {n, 0, z}]; (* A293400 *)
Table[Ceiling[r*n^2], {n, 0, z}]; (* A293401 *)
Table[Round[r*n^2], {n, 0, z}]; (* A293402 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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