A048763 Smallest cube >= n.

0, 1, 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, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 64, 125, 125, 125, 125, 125, 125

Offset

0,3

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

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

Florentin Smarandache, Only Problems, Not Solutions!.

Formula

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

Maple

A048763 := proc(n)
        ceil(root[3](n)) ;
        %^3 ;
end proc: # R. J. Mathar, Nov 06 2011

Mathematica

With[{nn=80}, Flatten[Table[Select[Range[0, Floor[nn^(1/3)]+1]^3, #>=n&, 1], {n, 0, nn}]]] (* Harvey P. Dale, Aug 09 2012 *)

Prog

(Haskell)
a048763 0 = 0
a048763 n = head $ dropWhile (< n) a000578_list
-- Reinhard Zumkeller, Nov 28 2011

Crossrefs

Cf. A048762, A201053, A000578.

Sequence in context: A201053 A160949 A245401 * A088841 A165925 A165926

Adjacent sequences: A048760 A048761 A048762 * A048764 A048765 A048766

Keyword

nonn

Author

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

Extensions

a(65), a(66) and a(67) corrected by Reinhard Zumkeller, Nov 28 2011

Status

approved