A153715 Greatest number m such that the fractional part of Pi^A153711(m) >= 1-(1/m).

1, 7, 32, 53, 189, 2665, 10810, 26577, 128778, 483367

Offset: 1

Author

Hieronymus Fischer, Jan 06 2009

Keywords

• nonn
• more

Examples

			a(3) = 32, since 1-(1/33) = 0.9696... > fract(Pi^A153711(3)) = fract(Pi^15) = 0.96938... >= 0.96875 = 1-(1/32).
		

Crossrefs

Cf. A153663, A153671, A153679, A153687, A153695, A091560, A153711, A154130, A153723.

Cf. A001672.

Programs

Mathematica

$MaxExtraPrecision = 100000;
A153711 = {1, 2, 15, 22, 58, 157, 1030, 5269, 145048, 151710};
Floor[1/(1-FractionalPart[Pi^A153711])] (* Robert Price, Apr 18 2019 *)

Formula

a(n) = floor(1/(1-fract(Pi^A153711(n)))), where fract(x) = x-floor(x).

Extensions

a(9)-a(10) from Robert Price, Apr 18 2019