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Positive integers a for which there is a primitive (-3/4)-Pythagorean triple (a,b,c) satisfying a<=b.
6

%I #6 Mar 30 2012 18:57:49

%S 3,3,4,6,7,9,10,11,12,14,17,20,21,22,23,25,26,28,29,30,31,32,32,32,34,

%T 35,36,37,38,39,41,42,49,52,53,55,57,58,60,61,63,64,64,68,69,70,74,76,

%U 76,82,84,84,84,87,91,91,92,92,93,95,96,96,96,96,96,98,99,101

%N Positive integers a for which there is a primitive (-3/4)-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 (-3/4)-Pythagorean triples a,b,c;

%e c^2=a^2+b^2+k*a*b, where k=-3/4:

%e 3,4,4

%e 3,32,31

%e 4,15,14

%e 6,14,13

%e 7,36,34

%e 9,28,26

%e 10,18,17

%e 11,420,416

%e 14,342,337

%t (See A196245.)

%Y Cf. A195770, A196245, A196249, A196250.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 30 2011