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 A049242 Smallest nonnegative value taken on by 3x^2 - ny^2 for an infinite number of integer pairs (x, y). 0
 2, 1, 0, 3, 3, 3, 3, 3, 3, 2, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 2, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 2, 1, 0, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..105. MATHEMATICA f[n_, z_] := FindInstance[x > 0 && y > 0 && 3*x^2 - n*y^2 == z, {x, y}, Integers, 1]; a[n_] := For[z = 0, True, z = z + GCD[n, 3], fz = f[n, z]; If[fz =!= {}, Print["a(", n, ") = ", z, " {x, y} = ", {x, y} /. fz[[1]]]; Return[z]]]; a[32] := (Print["a(32) = ", 3, " {x, y} = ", {4801, 1470}]; 3); a[64] := (Print["a(64) = ", 3, " {x, y} = ", {97, 21}]; 3); a[101] := (Print["a(101) = ", 3, " {x, y} = ", {2524, 435}]; 3); a[103] := (Print["a(103) = ", 3, " {x, y} = ", {64202725495, 10957096332}]; 3); Table[TimeConstrained[a[n], 300], {n, 1, 105}] (* Jean-François Alcover, Oct 09 2016 *) CROSSREFS Sequence in context: A336932 A127258 A154557 * A108887 A337804 A357368 Adjacent sequences: A049239 A049240 A049241 * A049243 A049244 A049245 KEYWORD nonn AUTHOR David W. Wilson STATUS approved

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Last modified June 21 13:19 EDT 2024. Contains 373544 sequences. (Running on oeis4.)