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A032378 Noncubes such that n is divisible by floor(n^(1/3)). 5
2, 3, 4, 5, 6, 7, 10, 12, 14, 16, 18, 20, 22, 24, 26, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 222, 228, 234, 240 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The Concrete Math Club Casino problem - non-cube winning slots.

REFERENCES

R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. 2nd Edition. Addison-Wesley, Reading, MA, 1994. Section 3.2, p74-76.

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

MAPLE

t1:=[]; for n from 1 to 500 do t2:=floor(n^(1/3)); if n mod t2 = 0 and t2^3 <> n then t1:=[op(t1), n]; fi; od:

# Alternate:

seq(seq(n, n=k^3+k..(k+1)^3-1, k), k=1..6); # Robert Israel, Mar 24 2020

MATHEMATICA

Select[Range[300], !IntegerQ[Surd[#, 3]]&&Divisible[#, Floor[Surd[#, 3]]]&] (* Harvey P. Dale, May 13 2020 *)

CROSSREFS

Cf. A066353, A079645, A112873.

Sequence in context: A082400 A072993 A018444 * A342726 A164947 A112881

Adjacent sequences:  A032375 A032376 A032377 * A032379 A032380 A032381

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 22 2001, corrected Oct 29 2006

EXTENSIONS

Concrete Mathematics page added by Olivier Gérard, Mar 05 2016

STATUS

approved

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Last modified May 11 21:35 EDT 2021. Contains 343808 sequences. (Running on oeis4.)