cp's OEIS Frontend

A048763 Smallest cube >= n.

%I A048763 #25 Aug 15 2022 04:32:44
%S A048763 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,
%T A048763 27,27,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
%U A048763 64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,125,125,125,125,125,125
%N A048763 Smallest cube >= n.
%D A048763 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.
%D A048763 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.
%H A048763 Reinhard Zumkeller, <a href="/A048763/b048763.txt">Table of n, a(n) for n = 0..10000</a>
%H A048763 Krassimir T. Atanassov, <a href="http://www.gallup.unm.edu/~smarandache/Atanassov-SomeProblems.pdf">On Some of Smarandache's Problems</a>, American Research Press, 1999, 27-32.
%H A048763 Florentin Smarandache, <a href="http://www.gallup.unm.edu/~smarandache/OPNS.pdf">Only Problems, Not Solutions!</a>.
%F A048763 Sum_{n>=1} 1/a(n)^2 = Pi^4/30 + Pi^6/945 - 3*zeta(5). - _Amiram Eldar_, Aug 15 2022
%p A048763 A048763 := proc(n)
%p A048763         ceil(root[3](n)) ;
%p A048763         %^3 ;
%p A048763 end proc: # _R. J. Mathar_, Nov 06 2011
%t A048763 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 *)
%o A048763 (Haskell)
%o A048763 a048763 0 = 0
%o A048763 a048763 n = head $ dropWhile (< n) a000578_list
%o A048763 -- _Reinhard Zumkeller_, Nov 28 2011
%Y A048763 Cf. A048762, A201053, A000578.
%K A048763 nonn
%O A048763 0,3
%A A048763 Charles T. Le (charlestle(AT)yahoo.com)
%E A048763 a(65), a(66) and a(67) corrected by _Reinhard Zumkeller_, Nov 28 2011