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Search: id:A079633
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A079633 a(n)=floor(n/floor(n^(1/3)))-floor(n^(2/3)). +0
1
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; listen)
OFFSET

1,4

FORMULA

for n>4 : Max (a(k) : 1<=k<=n ) =ceil(n^(1/3)) + 2 if n is a cube or a cube minus 1; Max (a(k) : 1<=k<=n ) =ceil(n^(1/3)) + 1 otherwise

PROGRAM

(PARI) a(n)=floor(n/floor(n^(1/3)+10^-20))-floor(n^(2/3)+10^-20)

CROSSREFS

Sequence in context: A096393 A010120 A012887 this_sequence A060573 A103893 A106448

Adjacent sequences: A079630 A079631 A079632 this_sequence A079634 A079635 A079636

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 30 2003

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Last modified December 9 18:50 EST 2009. Contains 170568 sequences.


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