The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A212097 Number of (w,x,y,z) with all terms in {1,...,n} and w^3<x^3+y^3+z^3. 3
0, 1, 15, 72, 221, 536, 1098, 2028, 3445, 5502, 8368, 12234, 17304, 23794, 31963, 42089, 54439, 69332, 87070, 108013, 132549, 161043, 193924, 231550, 274463, 323023, 377776, 439254, 507882, 584329, 669046, 762686, 865804, 979052 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
a(n)+A212100(n)=4^n. For a guide to related sequences, see A211795.
LINKS
MATHEMATICA
t = Compile[{{n, _Integer}}, Module[{s = 0},
(Do[If[w^3 < x^3 + y^3 + z^3, s = s + 1],
{w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
Map[t[#] &, Range[0, 40]] (* A212097 *)
(* Peter J. C. Moses, Apr 13 2012 *)
CROSSREFS
Cf. A211795.
Sequence in context: A168298 A126274 A241234 * A212098 A053531 A000476
KEYWORD
nonn
AUTHOR
Clark Kimberling, May 03 2012
STATUS
approved

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 June 16 05:10 EDT 2024. Contains 373423 sequences. (Running on oeis4.)