A195882 - OEIS

%I #6 Mar 30 2012 18:57:48

%S 2,3,5,7,7,10,11,11,13,13,14,15,16,17,17,18,18,19,19,21,22,23,25,26,

%T 26,27,29,29,31,32,32,32,33,34,37,38,38,39,41,42,43,46,46,48,48,48,49,

%U 53,57,58,61,62,63,64,64,66,69,73,77,78,80,80,80,86,91,93,94,95

%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

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

%e 2,3,4

%e 3,16,17

%e 5,14,16

%e 7,16,19

%e 7,90,92

%e 10,91,94

%e 11,42,46

%e 11,224,227

%e 13,16,23

%t (See A195879.)

%Y Cf. A195770, A195883, A195884, A195879.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 25 2011