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A196255 Positive integers a for which there is a primitive (3/4)-Pythagorean triple (a,b,c) satisfying a<=b. 6

%I #5 Mar 30 2012 18:57:49

%S 2,5,7,9,12,12,13,15,17,18,20,21,23,26,27,28,28,31,32,32,33,33,36,38,

%T 39,42,42,43,44,45,47,51,52,54,57,59,60,62,64,64,65,66,67,68,70,77,78,

%U 83,84,87,91,94,96,96,96,96,100,102,105,107,111,116,117,117,123

%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 2,6,7

%e 5,84,86

%e 7,12,16

%e 9,59,56

%e 12,19,26

%e 12,119,124

%e 13,576,581

%e 15,64,71

%e 17,192,199

%e 18,550,557

%t (See A196252.)

%Y Cf. A195770, A196252, A196256, A196257.

%K nonn

%O 1,1

%A _Clark Kimberling_, Sep 30 2011

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Last modified July 17 22:17 EDT 2024. Contains 374377 sequences. (Running on oeis4.)