A212244 Number of (w,x,y,z) with all terms in {1,...,n} and w + n = x*y*z.

0, 0, 3, 9, 13, 22, 31, 37, 48, 60, 69, 81, 93, 102, 118, 136, 142, 154, 178, 184, 202, 220, 229, 250, 265, 280, 295, 315, 333, 345, 372, 378, 400, 424, 433, 457, 481, 487, 511, 535, 550, 568, 595, 607, 625, 661, 676, 688, 712, 724, 757, 775, 787, 817

Offset

0,3

Comments

For a guide to related sequences, see A211795.

Links

Table of n, a(n) for n=0..53.

Mathematica

t = Compile[{{n, _Integer}}, Module[{s = 0},
(Do[If[w == x*y*z - n, s = s + 1],
{w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]];
Map[t[#] &, Range[0, 60]]  (* A212244 *)
(* Peter J. C. Moses, Apr 13 2012 *)

Crossrefs

Cf. A211795.

Sequence in context: A287184 A197569 A118570 * A004617 A135370 A206802

Adjacent sequences: A212241 A212242 A212243 * A212245 A212246 A212247

Keyword

nonn

Author

Clark Kimberling, May 08 2012

Status

approved