A224995 Floor(1/f(x^(1/n))) for x = 3/2, where f computes the fractional part.

2, 4, 6, 9, 11, 14, 16, 19, 21, 24, 26, 29, 31, 34, 36, 38, 41, 43, 46, 48, 51, 53, 56, 58, 61, 63, 66, 68, 71, 73, 75, 78, 80, 83, 85, 88, 90, 93, 95, 98, 100, 103, 105, 108, 110, 112, 115, 117, 120, 122, 125, 127, 130, 132, 135, 137, 140, 142, 145, 147, 149

Offset

1,1

Links

Table of n, a(n) for n=1..61.

Melvyn B. Nathanson, On the fractional parts of roots of positive real numbers, Amer. Math. Monthly, 120 (2013), 409-429.

Formula

a(n) = floor(n/log(3/2)-1/2) for n>1. - Andrey Zabolotskiy, Dec 01 2017

Mathematica

th = 3/2; t = Table[Floor[1/FractionalPart[th^(1/n)]], {n, 100}]

Crossrefs

Cf. A224996, A224997, A224998, A001651, A047211, A047203, A047290, A047332.

Sequence in context: A186316 A265286 A186343 * A091626 A085223 A163057

Adjacent sequences: A224992 A224993 A224994 * A224996 A224997 A224998

Keyword

nonn,easy

Author

T. D. Noe, Apr 26 2013

Status

approved