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 A212960 Number of (w,x,y) with all terms in {0,...,n} and |w-x| != |x-y|. 2
 0, 4, 16, 44, 92, 168, 276, 424, 616, 860, 1160, 1524, 1956, 2464, 3052, 3728, 4496, 5364, 6336, 7420, 8620, 9944, 11396, 12984, 14712, 16588, 18616, 20804, 23156, 25680, 28380, 31264, 34336, 37604, 41072, 44748, 48636, 52744, 57076 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n)+A212959(n)=(n+1)^3.  Every term is divisible by 4. For a guide to related sequences, see A212959. LINKS Index entries for linear recurrences with constant coefficients, signature (3,-2,-2,3,-1). FORMULA a(n) = 3*a(n-1)-2*a(n-2)-2*a(n-3)+3*a(n-4)-a(n-5). G.f.: f(x)/g(x), where f(x)=4x(1+x^2+x^3) and g(x)=(1+x)(1-x)^4. a(n) = (4*n^3 + 6*n^2 + 4*n+1 - (-1)^n)/4. - Luce ETIENNE, Apr 05 2014 MATHEMATICA t = Compile[{{n, _Integer}}, Module[{s = 0}, (Do[If[Abs[w - x] != Abs[x - y], s = s + 1], {w, 0, n}, {x, 0, n}, {y, 0, n}]; s)]]; m = Map[t[#] &, Range[0, 45]]   (* A212960 *) m/4 (* integers *) CROSSREFS Cf. A212959. Sequence in context: A183536 A161142 A259013 * A217873 A289086 A018210 Adjacent sequences:  A212957 A212958 A212959 * A212961 A212962 A212963 KEYWORD nonn,easy AUTHOR Clark Kimberling, Jun 01 2012 STATUS approved

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Last modified October 23 20:58 EDT 2018. Contains 316533 sequences. (Running on oeis4.)