A153716 Greatest number m such that the fractional part of Pi^A153712(n) >= 1-(1/m).

1, 7, 32, 53, 189, 131, 2665, 10810, 2693, 1976, 3697, 4289, 26577, 483367

Offset

1,2

Links

Table of n, a(n) for n=1..14.

Formula

a(n) = floor(1/(1-fract(Pi^A153712(n)))), where fract(x) = x-floor(x).

Example

a(3) = 32, since 1-(1/33) = 0.9696... > fract(Pi^A153712(3)) = fract(Pi^15) = 0.96938... >= 0.96875 = 1-(1/32).

Mathematica

A153712 = {1, 2, 15, 22, 58, 109, 157, 1030, 1071, 1274, 2008, 2322,
   5269, 151710};
Table[Floor[1/(1 - FractionalPart[Pi^A153712[[n]]])], {n, 1,
Length[A153712]}] (* Robert Price, May 10 2019 *)

Crossrefs

Cf. A153664, A153672, A153680, A153688, A153696, A153704, A153712, A154130, A153724.

Cf. A001672.

Sequence in context: A044084 A044465 A029484 * A153715 A060123 A013650

Adjacent sequences: A153713 A153714 A153715 * A153717 A153718 A153719

Keyword

nonn,more

Author

Hieronymus Fischer, Jan 06 2009

Extensions

a(14) from Robert Price, May 10 2019

Status

approved