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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
0, 0, 1, 9, 35, 89, 192, 367, 645, 1047, 1620, 2395, 3414, 4749, 6435, 8518, 11079, 14171, 17876, 22272, 27409, 33396, 40290, 48249, 57265, 67548, 79146, 92127, 106708, 122880, 140876, 160757, 182694, 206791, 233160, 262032, 293445 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

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

LINKS

Giovanni Resta, Table of n, a(n) for n = 0..1000

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]] (* A212099 *)

(* Peter J. C. Moses, Apr 13 2012 *)

CROSSREFS

Cf. A211795, A212098.

Sequence in context: A226755 A022275 A071398 * A212100 A005898 A034957

Adjacent sequences:  A212096 A212097 A212098 * A212100 A212101 A212102

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 03 2012

STATUS

approved

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Last modified February 19 10:20 EST 2018. Contains 299330 sequences. (Running on oeis4.)