A224998 - OEIS

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A224998

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

3

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

(list; graph; refs; listen; history; text; internal format)

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