A048762 Largest cube <= n.

0, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 64, 64, 64

Offset

0,9

References

Krassimir T. Atanassov, On the 40th and 41st Smarandache Problems, Notes on Number Theory and Discrete Mathematics, Sophia, Bulgaria, Vol. 4, No. 3 (1998), 101-104.

J. Castillo, Other Smarandache Type Functions: Inferior/Superior Smarandache f-part of x, Smarandache Notions Journal, Vol. 10, No. 1-2-3 (1999), 202-204.

Links

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

Florentin Smarandache, Only Problems, Not Solutions!.

Krassimir T. Atanassov, On Some of Smarandache's Problems, American Research Press, 1999, 27-32.

Formula

Sum_{n>=1} 1/a(n)^2 = Pi^4/30 + Pi^6/945 + 3*zeta(5). - Amiram Eldar, Aug 15 2022

Maple

A048762 := proc(n)
        floor(root[3](n)) ;
        %^3 ;
end proc: # R. J. Mathar, Nov 06 2011

Mathematica

Floor[Surd[Range[0, 70], 3]]^3 (* Harvey P. Dale, Jun 23 2013 *)

Prog

(Haskell)
a048762 n = last $ takeWhile (<= n) a000578_list
-- Reinhard Zumkeller, Nov 28 2011

Crossrefs

Cf. A048763, A201053, A000578.

Sequence in context: A269350 A195139 A010731 * A201053 A160949 A245401

Adjacent sequences: A048759 A048760 A048761 * A048763 A048764 A048765

Keyword

nonn

Author

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

Status

approved