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 A212256 Number of (w,x,y,z) with all terms in {1,...,n} and 4/w = 1/x + 1/y + 1/z + 1/n. 2
 0, 1, 1, 4, 13, 1, 22, 1, 13, 10, 22, 1, 61, 1, 18, 102, 13, 1, 82, 1, 156, 79, 1, 1, 184, 1, 1, 10, 183, 1, 297, 1, 13, 105, 1, 181, 298, 1, 1, 16, 285, 1, 378, 1, 64, 405, 1, 1, 358, 1, 37, 13, 96, 1, 163, 130, 402, 31, 1, 1, 944 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS w = harmonic mean of {x,y,z,n}. For a guide to related sequences, see A211795. LINKS Table of n, a(n) for n=0..60. MATHEMATICA t = Compile[{{n, _Integer}}, Module[{s = 0}, (Do[If[4/w == 1/x + 1/y + 1/z + 1/n, s = s + 1], {w, 1, #}, {x, 1, #}, {y, 1, #}, {z, 1, #}] &[n]; s)]]; Map[t[#] &, Range[0, 60]] (* A212256 *) (* Peter J. C. Moses, Apr 13 2012 *) PROG (PARI) A212256(n) = sum(w=1, n, sum(x=1, n, sum(y=1, n, sum(z=1, n, (4/w)==((1/x)+(1/y)+(1/z)+(1/n)))))); \\ (Is there any significantly faster program?) - Antti Karttunen, Feb 15 2023 CROSSREFS Cf. A211795. Sequence in context: A024248 A130539 A156823 * A265327 A130650 A170865 Adjacent sequences: A212253 A212254 A212255 * A212257 A212258 A212259 KEYWORD nonn AUTHOR Clark Kimberling, May 15 2012 STATUS approved

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Last modified March 3 17:29 EST 2024. Contains 370512 sequences. (Running on oeis4.)