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A105209 Nearest integer to the cube root of n. 5
1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

REFERENCES

Erwin Voellmy, Fünfstellige Logarithmen und Zahlentafeln, Orell Füssli Verlag, Zürich (1962).

LINKS

Table of n, a(n) for n=1..105.

Seung-Jin Bang, Problem 10212, The American Mathematical Monthly, Vol. 99, No. 4 (1992), p. 361, Nearest Integer Zeta Functions, solution to Problem 10212, ibid., Vol. 101, No. 6 (1994), pp. 579-580.

FORMULA

Sum_{n>=1} 1/a(n)^s = 3*zeta(s-2) + zeta(s)/4^s, for s > 3 (Seung-Jin Bang, 1992). - Amiram Eldar, Oct 31 2020

EXAMPLE

a(16) = 3 because 16^(1/3) = 2.519842...

MAPLE

for n from 1 to 200 do printf(`%d, `, round(n^(1/3))) od: # James A. Sellers, Apr 21 2005

MATHEMATICA

Round[Surd[Range[110], 3]] (* Harvey P. Dale, Feb 28 2015 *)

PROG

(PARI) a(n) = round(n^(1/3)); \\ Michel Marcus, Aug 19 2016

CROSSREFS

Cf. A000194, A048766.

Sequence in context: A001069 A156877 A110591 * A179076 A095861 A111855

Adjacent sequences:  A105206 A105207 A105208 * A105210 A105211 A105212

KEYWORD

easy,nonn

AUTHOR

Pahikkala Jussi, Apr 13 2005

EXTENSIONS

More terms from James A. Sellers, Apr 21 2005

STATUS

approved

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Last modified March 7 10:38 EST 2021. Contains 341869 sequences. (Running on oeis4.)