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Positive integers a for which there is a primitive (-1/2)-Pythagorean triple (a,b,c) satisfying a<=b.
3

%I #5 Mar 30 2012 18:57:48

%S 1,5,6,6,7,9,9,10,11,11,13,13,14,14,15,16,16,17,17,19,19,21,22,22,23,

%T 23,26,26,29,31,31,32,32,32,33,34,34,35,37,38,39,41,42,43,46,47,48,48,

%U 48,50,51,54,58,59,62,64,64,64,66,67,70,71,74,75,77,77,79,80,80

%N Positive integers a for which there is a primitive (-1/2)-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 (-1/2)-Pythagorean triples (a,b,c)

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

%e 1,2,2

%e 5,48,47

%e 6,7,8

%e 6,35,34

%e 7,32,31

%e 9,32,31

%e 9,154,152

%e 10,33,32

%e 11,16,17

%t (See A195872.)

%Y Cf. A195770, A195872, A195876, A195877.

%K nonn

%O 1,2

%A _Clark Kimberling_, Sep 25 2011