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A049250 Smallest nonnegative value taken on by 11x^2 - ny^2 for an infinite number of integer pairs (x, y). 0
2, 1, 8, 7, 6, 3, 1, 3, 2, 1, 0, 11, 11, 2, 11, 11, 3, 9, 1, 11, 11, 11, 7, 3, 11, 2, 8, 4, 3, 5, 11, 3, 11, 10, 1, 8, 7, 6, 5, 4, 3, 2, 1, 0, 11, 11, 11, 11, 2, 1, 3, 11, 6, 5, 11, 8, 11, 2, 8, 11, 11, 3, 9, 11, 11, 11, 7, 3, 11, 11, 11, 11, 11, 1, 11, 4, 11, 2, 1, 11, 2, 11, 1, 11, 11, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..86.

MATHEMATICA

p = 11; 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], Which[n == 64, z = 11; fz = $Aborted, True, 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, 86}] (* Jean-Fran├žois Alcover, Oct 11 2016 *)

CROSSREFS

Sequence in context: A293415 A197018 A082532 * A060587 A168142 A081800

Adjacent sequences:  A049247 A049248 A049249 * A049251 A049252 A049253

KEYWORD

nonn

AUTHOR

David W. Wilson, Dec 11 1999

STATUS

approved

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Last modified June 4 11:32 EDT 2020. Contains 334825 sequences. (Running on oeis4.)