login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A195935 Positive integers a for which there is a primitive (-1/3)-Pythagorean triple (a,b,c) satisfying a<=b. 2

%I

%S 1,7,8,9,9,9,11,13,13,15,15,16,16,17,17,19,21,23,23,24,24,25,27,27,27,

%T 29,29,31,32,33,37,39,39,40,40,41,43,45,45,47,48,51,53,55,56,56,57,57,

%U 59,63,63,63,64,65,69,71,72,72,72,72,81,83,88,89,91,93,95,96

%N Positive integers a for which there is a primitive (-1/3)-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 (-1/3)-Pythagorean triples

%e (c^2=a^2+b^2+k*a*b, where k=-1/3):

%e 1,3,3

%e 7,144,143

%e 8,9,11

%e 9,11,13

%e 9,16,17

%e 9,80,79

%e 11,72,71

%e 13,72,71

%e 13,495,493

%e 15,32,33

%t (See A195932.)

%Y Cf. A195932.

%K nonn

%O 1,2

%A _Clark Kimberling_, Sep 26 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 25 08:26 EDT 2020. Contains 334585 sequences. (Running on oeis4.)