A224998 Floor(1/f(x^(1/n))) for x = Pi, where f computes the fractional part.

7, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27, 28, 29, 30, 30, 31, 32, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 42, 43, 44, 44, 45, 46, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 57, 58, 58

Offset

1,1

Links

Table of n, a(n) for n=1..68.

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(Pi)-1/2) for n>4. - Andrey Zabolotskiy, Dec 01 2017

Mathematica

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

Crossrefs

Cf. A224995, A224996, A224997, A001651, A047211, A047203, A047290, A047332.

Sequence in context: A176440 A216983 A021588 * A222216 A212498 A153103

Adjacent sequences: A224995 A224996 A224997 * A224999 A225000 A225001

Keyword

nonn,easy

Author

T. D. Noe, Apr 26 2013

Status

approved