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A212144 Number of (w,x,y,z) with all terms in {1,...,n} and w > (geometric mean of x,y,z). 2
0, 0, 7, 42, 135, 340, 717, 1332, 2281, 3657, 5604, 8224, 11676, 16113, 21712, 28656, 37122, 47368, 59583, 74049, 90988, 110667, 133368, 159394, 189084, 222681, 260635, 303210, 350841, 403846, 462705, 527727, 599332, 678054, 764322 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

A212144(n)+A212143(n)=n^4. For a guide to related sequences, see A211795.

LINKS

Table of n, a(n) for n=0..34.

MATHEMATICA

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

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

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

Map[t[#] &, Range[0, 50]] (* A212144 *)

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

CROSSREFS

Cf. A211795.

Sequence in context: A044109 A195320 A110451 * A266387 A008526 A057425

Adjacent sequences: A212141 A212142 A212143 * A212145 A212146 A212147

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 06 2012

STATUS

approved

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Last modified November 28 05:56 EST 2022. Contains 358407 sequences. (Running on oeis4.)