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 A212099 Number of (w,x,y,z) with all terms in {1,...,n} and w^3>x^3+y^3+z^3. 3

%I #10 May 09 2017 08:48:19

%S 0,0,1,9,35,89,192,367,645,1047,1620,2395,3414,4749,6435,8518,11079,

%T 14171,17876,22272,27409,33396,40290,48249,57265,67548,79146,92127,

%U 106708,122880,140876,160757,182694,206791,233160,262032,293445

%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)+A212098(n)=n^4. For a guide to related sequences, see A211795.

%H Giovanni Resta, <a href="/A212099/b212099.txt">Table of n, a(n) for n = 0..1000</a>

%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]] (* A212099 *)

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

%Y Cf. A211795, A212098.

%K nonn

%O 0,4

%A _Clark Kimberling_, May 03 2012

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Last modified July 23 06:59 EDT 2024. Contains 374544 sequences. (Running on oeis4.)