login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A212100 Number of (w,x,y,z) with all terms in {1,...,n} and w^3>=x^3+y^3+z^3. 3

%I #7 Dec 04 2016 19:46:29

%S 0,0,1,9,35,89,198,373,651,1059,1632,2407,3432,4767,6453,8536,11097,

%T 14189,17906,22308,27451,33438,40332,48291,57313,67602,79200,92187,

%U 106774,122952,140954,160835,182772,206869,233238,262110,293535

%N Number of (w,x,y,z) with all terms in {1,...,n} and w^3>=x^3+y^3+z^3.

%C a(n)+A212097(n)=n^4. For a guide to related sequences, see A211795.

%t t = Compile[{{n, _Integer}}, Module[{s = 0},

%t (Do[If[w^3 >= x^3 + y^3 + z^3, s = s + 1],

%t {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];

%t Map[t[#] &, Range[0, 40]] (* A212100 *)

%t (* _Peter J. C. Moses_, Apr 13 2012 *)

%Y Cf. A211795.

%K nonn

%O 0,4

%A _Clark Kimberling_, May 03 2012

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 03:08 EDT 2024. Contains 371918 sequences. (Running on oeis4.)