A153662 Numbers k such that the fractional part of (3/2)^k is less than 1/k.

1, 2, 4, 7, 3328, 3329, 4097, 12429, 12430, 12431, 18587, 44257, 112896, 129638, 4264691, 144941960, 144941961, 144941962

Offset: 1

Author

Hieronymus Fischer, Dec 31 2008

Keywords

• nonn
• more

Comments

Numbers k such that fract((3/2)^k) < 1/k, where fract(x) = x-floor(x).

The next term is greater than 3*10^8.

Examples

			a(4) = 7 since fract((3/2)^7) = 0.0859375 < 1/7, but fract((3/2)^5)  = 0.59375 >= 1/5 and fract((3/2)^6) = 0.390625 >= 1/6.
		

Crossrefs

Cf. A002379, A081464, A153663, A153664, A153665, A153666, A153667, A153668.

Programs

Mathematica

Select[Range[1000], FractionalPart[(3/2)^#] < (1/#) &] (* G. C. Greubel, Aug 24 2016 *)

Extensions

a(15)-a(18) from Robert Gerbicz, Nov 21 2010