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A212058 Number of (w,x,y,z) with all terms in {1,...,n} and w>=x*y*z. 3
0, 1, 5, 12, 25, 41, 66, 94, 132, 176, 229, 285, 359, 436, 522, 617, 727, 840, 971, 1105, 1257, 1418, 1588, 1761, 1964, 2173, 2391, 2619, 2865, 3114, 3390, 3669, 3969, 4278, 4596, 4923, 5286, 5652, 6027, 6411, 6825, 7242, 7686, 8133, 8598 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n)+A212057(n)=n^4.  For a guide to related sequences, see A211795.

LINKS

Table of n, a(n) for n=0..44.

MATHEMATICA

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

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

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

Map[t[#] &, Range[0, 50]] (* A212058 *)

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

CROSSREFS

Cf. A211795, A061201.

Sequence in context: A274629 A082019 A336877 * A303854 A331714 A086168

Adjacent sequences:  A212055 A212056 A212057 * A212059 A212060 A212061

KEYWORD

nonn

AUTHOR

Clark Kimberling, Apr 30 2012

STATUS

approved

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Last modified September 30 00:37 EDT 2020. Contains 337432 sequences. (Running on oeis4.)