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A196101 Positive integers a for which there is a primitive (5/4)-Pythagorean triple (a,b,c) satisfying a<=b.

%I A196101 #8 Oct 24 2024 01:25:44
%S A196101 3,4,10,11,14,15,17,19,20,22,23,25,26,28,29,31,32,33,35,35,36,37,38,
%T A196101 42,44,47,53,54,55,57,61,63,64,64,65,68,70,71,77,82,84,85,86,91,96,98,
%U A196101 99,100,101,109,110,116,124,125,126,128,132,138,140,145,146,156
%N A196101 Positive integers a for which there is a primitive (5/4)-Pythagorean triple (a,b,c) satisfying a<=b.
%C A196101 See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.
%e A196101 Primitive (5/4)-Pythagorean triples;
%e A196101 c^2=a^2+b^2+k*a*b, where k=5/4:
%e A196101 3,20,22
%e A196101 4,7,10
%e A196101 10,34,41
%e A196101 11,288,295
%e A196101 14,230,239
%e A196101 15,32,43
%e A196101 17,224,235
%e A196101 19,868,880
%e A196101 20,231,244
%e A196101 22,30,47
%t A196101 (See A196098.)
%Y A196101 Cf. A195770, A196098, A196102, A196103.
%K A196101 nonn
%O A196101 1,1
%A A196101 _Clark Kimberling_, Sep 28 2011