A243166 Nonnegative integers of the form x^2+6xy-2y^2.

0, 1, 4, 5, 9, 14, 16, 20, 22, 25, 36, 37, 38, 45, 49, 53, 56, 64, 70, 77, 80, 81, 86, 88, 89, 97, 100, 110, 113, 121, 125, 126, 133, 137, 144, 148, 152, 157, 158, 166, 169, 180, 181, 185, 190, 196, 198, 209, 212, 214, 224, 225, 229, 245, 254, 256, 257, 262, 265, 269, 278, 280, 289, 301, 302, 308, 313, 317, 320, 324

Offset: 1

Author

N. J. A. Sloane, May 31 2014

Keywords

• nonn

Comments

Discriminant 44.

Nonnegative integers of the form z^2-11y^2. - Robert Israel, Jan 11 2017

Links

• Robert Israel, Table of n, a(n) for n = 1..13478
• N. J. A. Sloane et al., Binary Quadratic Forms and OEIS (Index to related sequences, programs, references)

Crossrefs

Primes in this sequence = A141182.

Programs

Maple

N:= 1000: # to get all terms <= N
Res:= {}:
for z from 0 to floor(10*sqrt(N)) do
   for y from 0 do
     v:= z^2 - 11*y^2;
     if v < 0 then break fi;
     if v <= N then Res:= Res union {v} fi;
   od
od:
sort(convert(Res,list)); # Robert Israel, Jan 11 2017