

A049251


Smallest nonnegative value taken on by 12x^2  ny^2 for an infinite number of integer pairs (x, y).


0



3, 4, 0, 8, 3, 6, 5, 4, 3, 2, 1, 0, 12, 12, 12, 12, 3, 12, 12, 12, 3, 12, 1, 12, 3, 4, 0, 12, 3, 12, 12, 12, 3, 12, 12, 12, 11, 10, 9, 8, 3, 6, 5, 4, 3, 2, 1, 0, 12, 12, 12, 12, 3, 12, 5, 12, 3, 2, 1, 12, 12, 12, 12, 12, 3, 12, 5, 12, 3, 12, 1, 12, 3, 4, 0, 12, 3, 12, 12, 12, 3, 12, 1, 12
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..84.


MATHEMATICA

p = 12; f[n_, z_] := FindInstance[x > 0 && y > 0 && p*x^2  n*y^2 == z, {x, y}, Integers, 1]; a[n_] := For[z = 0, z <= p, z = z + GCD[n, p], fz = TimeConstrained[f[n, z], 300]; fz = If[fz === $Aborted, {{x > Null, y > Null}}, fz]; If[fz =!= {}, Print["a(", n, ") = ", z, " {x, y} = ", {x, y} /. fz[[1]]]; Return[z]]]; Table[a[n], {n, 1, 84}] (* JeanFrançois Alcover, Oct 11 2016 *)


CROSSREFS

Sequence in context: A011338 A214024 A215079 * A308642 A158674 A213280
Adjacent sequences: A049248 A049249 A049250 * A049252 A049253 A049254


KEYWORD

nonn


AUTHOR

David W. Wilson, Dec 11 1999


STATUS

approved



