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A095203
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Numbers n such that (Pi/sqrt(2))^n is closer to its nearest integer than any value of (Pi/sqrt(2))^k for 1 <= k < n.
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0
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1, 2, 3, 8, 61, 80, 126, 196, 258, 259, 337, 1619, 1638, 7876, 7992, 13719, 28371, 29915, 53708, 67659, 439936, 688433
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OFFSET
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1,2
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COMMENTS
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LINKS
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EXAMPLE
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The discrepancy from an integer at n=1638 is 0.00008059...
The discrepancy from an integer at n=29915 is 0.000011153743573...
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MATHEMATICA
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$MaxExtraPrecision = 2^20; a = 1; Do[ d = Abs[ N[ (Pi/Sqrt[2])^n - Round[(Pi/Sqrt[2])^n], 24]]; If[ d < a, a = d; Print[n]], {n, 41000}] (* Robert G. Wilson v, Jun 30 2004 *)
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CROSSREFS
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KEYWORD
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more,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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