A196101 - OEIS

%I #8 Oct 24 2024 01:25:44

%S 3,4,10,11,14,15,17,19,20,22,23,25,26,28,29,31,32,33,35,35,36,37,38,

%T 42,44,47,53,54,55,57,61,63,64,64,65,68,70,71,77,82,84,85,86,91,96,98,

%U 99,100,101,109,110,116,124,125,126,128,132,138,140,145,146,156

%N Positive integers a for which there is a primitive (5/4)-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 (5/4)-Pythagorean triples;

%e c^2=a^2+b^2+k*a*b, where k=5/4:

%e 3,20,22

%e 4,7,10

%e 10,34,41

%e 11,288,295

%e 14,230,239

%e 15,32,43

%e 17,224,235

%e 19,868,880

%e 20,231,244

%e 22,30,47

%t (See A196098.)

%Y Cf. A195770, A196098, A196102, A196103.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 28 2011