

A049244


Smallest nonnegative value taken on by 5x^2  ny^2 for an infinite number of integer pairs (x, y).


0



1, 2, 2, 1, 0, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 4, 3, 2, 1, 0, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 1, 5, 3, 5, 5, 5, 5, 5, 5, 5, 1, 3, 2, 1, 0, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 1, 5, 1, 2, 5, 5, 5, 5, 2, 5, 5, 5, 1, 5, 5, 5, 5, 4, 3, 2, 1, 0, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 1, 5, 5, 5, 5
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..105.


MATHEMATICA

f[n_, z_] := FindInstance[x > 0 && y > 0 && 5*x^2  n*y^2 == z, {x, y}, Integers, 1]; a[n_] := For[z = 0, z <= 5, z = z + GCD[n, 5], fz = f[n, z]; If[fz =!= {}, Print["a(", n, ") = ", z, " {x, y} = ", {x, y} /. fz[[1]]]; Return[z]]];
a[49] := (Print["a(49) = ", 5, " {x, y} = ", {51841, 16560}]; 5);
a[81] := (Print["a(81) = ", 5, " {x, y} = ", {161, 40}]; 5);
a[83] := (Print["a(83) = ", 5, " {x, y} = ", {1919, 471}]; 5);
a[98] := (Print["a(98) = ", 3, " {x, y} = ", {31, 7}]; 3);
Table[TimeConstrained[a[n], 300], {n, 1, 105}] (* JeanFrançois Alcover, Oct 10 2016 *)


CROSSREFS

Sequence in context: A106566 A099039 A205574 * A110281 A120059 A067347
Adjacent sequences: A049241 A049242 A049243 * A049245 A049246 A049247


KEYWORD

nonn


AUTHOR

David W. Wilson


STATUS

approved



