A079633 - OEIS

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A079633

a(n) = floor(n/floor(n^(1/3))) - floor(n^(2/3)).

0

0, 1, 1, 2, 3, 3, 4, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 3, 2, 3, 3, 4, 3, 4, 4, 5, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 4, 4, 3, 4, 4, 4, 5, 5, 4, 5, 5, 5, 6, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 3, 3, 2, 2, 3, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4

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

OFFSET

1,4

LINKS

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

FORMULA

For n > 4: Max_{k=1..n} a(k) = ceiling((n+2)^(1/3)) + 1.

PROG

(PARI) a(n)=floor(n/sqrtnint(n, 3))-sqrtnint(n^2, 3)

CROSSREFS

Cf. A048766, A100196.

Sequence in context: A010120 A012887 A177876 * A380598 A285891 A060573

Adjacent sequences: A079630 A079631 A079632 * A079634 A079635 A079636

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Jan 30 2003

STATUS

approved