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A079645 Numbers n such that Integer part of the cube root of n divides n. 4
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

LINKS

B. Cloitre, Some divisibility sequences

FORMULA

For n=(k/2)(3k+11)-m for some fixed m>=0 with n > (k-1)/2(3(k-1)+11) we have a(n) = k^3 + 3k^2 + (3-m)*k. - Benoit Cloitre, Jan 22 2012

EXAMPLE

252^(1/3)= 6.316359597656.... and 252/6=42 hence 252 is in the sequence.

MAPLE

t1:=[]; for n from 1 to 500 do t2:=floor(n^(1/3)); if n mod t2 = 0 then t1:=[op(t1), n]; fi; od: t1; (N. J. A. Sloane, Oct 29 2006)

CROSSREFS

Cf. A079631, A006446, A032378, A112873, A120721.

Sequence in context: A018676 A115845 A026507 * A032958 A080750 A113768

Adjacent sequences:  A079642 A079643 A079644 * A079646 A079647 A079648

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 31 2003

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Last modified February 14 01:35 EST 2012. Contains 205567 sequences.