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Positive integers a for which there is a primitive (-1/4)-Pythagorean triple (a,b,c) satisfying a<=b.
6

%I #8 Mar 30 2012 18:57:49

%S 1,4,6,9,10,10,11,12,13,14,15,17,19,20,20,22,23,23,25,26,28,28,29,31,

%T 31,32,32,32,32,33,34,35,36,37,38,38,39,41,44,44,47,50,52,52,53,54,55,

%U 55,57,58,60,61,64,64,64,65,65,65,68,71,76,76,79,82

%N Positive integers a for which there is a primitive (-1/4)-Pythagorean triple (a,b,c) satisfying a<=b.

%C See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

%e Primitive (-1/4)-Pythagorean tripleas a,b,c;

%e c^2=a^2+b^2+k*a*b, where k=-1/4:

%e 1,4,4

%e 4,5,6

%e 6,10,11

%e 9,320,319

%e 10,22,23

%e 10,198,197

%e 11,160,159

%e 12,132,142

%e 13,32,33

%e 14,130,129

%t (See A196266.)

%Y Cf. A195770, A196270, A196271, A196268.

%K nonn

%O 1,2

%A _Clark Kimberling_, Sep 30 2011