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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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EXAMPLE
| The discrepancy from an integer at n=1638 is 0.00008059...
The discrepancy from an integer at n=29915 is 0.0000111537435730823253374680...
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MATHEMATICA
| $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}] (from Robert G. Wilson v Jun 30 2004)
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CROSSREFS
| Sequence in context: A042365 A160634 A072043 * A003096 A042815 A191353
Adjacent sequences: A095200 A095201 A095202 * A095204 A095205 A095206
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KEYWORD
| more,nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Jun 22 2004
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EXTENSIONS
| Five more terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 30 2004
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