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A212063 Number of (w,x,y,z) with all terms in {1,...,n} and w^2<x*y*z. 3

%I #10 Dec 04 2016 19:46:29

%S 0,0,8,50,169,440,943,1796,3118,5090,7877,11683,16708,23253,31552,

%T 41892,54589,70030,88524,110484,136289,166434,201327,241465,287278,

%U 339444,398407,464742,539068,622021,714192,816319,929007,1053100

%N Number of (w,x,y,z) with all terms in {1,...,n} and w^2<x*y*z.

%C a(n)+A212064(n)=n^4. For a guide to related sequences, see A211795.

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

%t (Do[If[w^2 < x*y*z, s = s + 1],

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

%t Map[t[#] &, Range[0, 50]] (* A212063 *)

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

%Y Cf. A211795.

%K nonn

%O 0,3

%A _Clark Kimberling_, Apr 30 2012

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Last modified November 29 03:03 EST 2023. Contains 367422 sequences. (Running on oeis4.)