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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
OFFSET
1,1
LINKS
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}]
KEYWORD
nonn,easy
AUTHOR
T. D. Noe, Apr 26 2013
STATUS
approved