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.

1, 2, 3, 8, 61, 80, 126, 196, 258, 259, 337, 1619, 1638, 7876, 7992, 13719, 28371, 29915, 53708, 67659, 439936, 688433

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: A160634 A072043 A347289 * A351658 A003096 A333077

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