A224997 Floor(1/f(x^(1/n))) for x = 17, where f computes the fractional part.

8, 1, 32, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 9, 9, 10, 10, 10, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 19, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25

Offset

2,1

Links

Table of n, a(n) for n=2..73.

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(17)-1/2) for n>7. - Andrey Zabolotskiy, Dec 01 2017

Mathematica

th = 17; t = Table[Floor[1/FractionalPart[th^(1/n)]], {n, 2, 100}]

Crossrefs

Cf. A224995, A224996, A224998, A001651, A047211, A047203, A047290, A047332.

Sequence in context: A028943 A050311 A343257 * A275790 A351242 A050302

Adjacent sequences: A224994 A224995 A224996 * A224998 A224999 A225000

Keyword

nonn,easy

Author

T. D. Noe, Apr 26 2013

Status

approved