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A048766 Integer part of cube root of n. Or, number of cubes <= n. Or, n appears 3n^2 + 3n + 1 times. 25
0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 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, 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 (list; graph; refs; listen; history; internal format)
OFFSET

0,9

REFERENCES

K. Atanassov, On the 100-th, 101-st and 102-nd Smarandache Problems, Notes on Number Theory and Discrete Mathematics, Sophia, Bulgaria, Vol. 5 (1999), No. 3, 94-96.

K. Atanassov, On Some of Smarandache's Problems, American Research Press, 1999, 57-61.

F. Smarandache, Only Problems not Solutions!, Xiquan Publ. Hse., 1993.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

K. Atanassov, On Some of Smarandache's Problems

M. L. Perez et al., eds., Smarandache Notions Journal

F. Smarandache, Only Problems, Not Solutions!.

MATHEMATICA

a[n_]:=IntegerPart[n^(1/3)]; lst={}; Do[AppendTo[lst, a[n]], {n, 0, 6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Dec 02 2008]

PROG

(Haskell)

a048766 n = a048766_list !! n

a048766_list = concatMap (\x -> take (a003215 x) $ repeat x) [0..]

-- Reinhard Zumkeller, Oct 22 2011

CROSSREFS

Cf. A000196.

Cf. A003215, A007412.

Sequence in context: A168353 A053230 A194334 * A105516 A105518 A111896

Adjacent sequences:  A048763 A048764 A048765 * A048767 A048768 A048769

KEYWORD

nonn

AUTHOR

Charles T. Le (charlestle(AT)yahoo.com)

EXTENSIONS

Additional comments from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 07 2001

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

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Last modified February 14 22:37 EST 2012. Contains 205679 sequences.