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A095203 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. +0
1
1, 2, 3, 8, 61, 80, 126, 196, 258, 259, 337, 1619, 1638, 7876, 7992, 13719, 28371, 29915 (list; graph; listen)
OFFSET

1,2

EXAMPLE

The discrepancy from an integer at n=1638 is 0.00008059...

The discrepancy from an integer at n=29915 is 0.0000111537435730823253374680...

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)

CROSSREFS

Sequence in context: A013205 A042365 A072043 this_sequence A003096 A042815 A005008

Adjacent sequences: A095200 A095201 A095202 this_sequence A095204 A095205 A095206

KEYWORD

more,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jun 22 2004

EXTENSIONS

Five more terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 30 2004

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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