The-total-number-of-non-similar-triangles-which-can-be-formed-such-that-all-the-angles-of-the-triangle-are-integers-is-

Question Number 22040 by Tinkutara last updated on 10/Oct/17

The total number of non - similar

triangles which can be formed such

that all the angles of the triangle are

integers is

Commented by mrW1 last updated on 01/Jan/18

t h e q u e s t i o n i s i n h o w m a n y w a y s

180 c a n b e b u i l t a s s u m o f t h r e e n u m b e r s

w h i c h a r e ⩾ 1 . t h i s i s t h e c o e f f i c i e n t

o f x^{180} t e r m o f f o l l o w i n g g e n e r a t i n g

f u n c t i o n :

\frac{x^{3}}{(1 - x) (1 - x^{2}) (1 - x^{3})}

w h i c h i s 2700 .

Commented by mrW1 last updated on 01/Jan/18

Commented by Tinkutara last updated on 01/Jan/18

How do you find the expression for this generating function?

Commented by mrW1 last updated on 01/Jan/18

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