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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, 2, 3, 8, 61, 80, 126, 196, 258, 259, 337, 1619, 1638, 7876, 7992, 13719, 28371, 29915, 53708, 67659, 439936, 688433 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(23) > 10^6. - Jon E. Schoenfield, Jul 25 2015

LINKS

Table of n, a(n) for n=1..22.

EXAMPLE

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

The discrepancy from an integer at n=29915 is 0.000011153743573...

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}] (* Robert G. Wilson v, Jun 30 2004 *)

CROSSREFS

Sequence in context: A042365 A160634 A072043 * A003096 A042815 A191353

Adjacent sequences:  A095200 A095201 A095202 * A095204 A095205 A095206

KEYWORD

more,nonn

AUTHOR

Jason Earls, Jun 22 2004

EXTENSIONS

a(14)-a(18) from Robert G. Wilson v, Jun 30 2004

a(19)-a(22) from Jon E. Schoenfield, Jul 25 2015

STATUS

approved

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Last modified April 21 06:42 EDT 2019. Contains 322310 sequences. (Running on oeis4.)