Ugly maths and beautiful maths.

Someone[1] described this

1/pi = (sqrt(8)/9801) sum_0^infty ((4n)!/(n!)^4)(1103 +
26390n)/386^{4n}

as an "aesthetic result" by which I assume they mean aesthetically
pleasing. To me it looks quite ugly: 9801, 1103, 26390 and 396 all have
a horribly random look about them.

[1] Page 9 of
https://www.maa.org/ecomtpro/Timssnet/products/DOL31-SampleText.pdf.

 

This is one down to Ramanujan
cf <http://www.cecm.sfu.ca/organics/papers/borwein/paper/html/
node3.html#SECTION00010010000000000000>

Who is a hero.
But some of his results are more striking (as my mother would have
said) than good looking.

9801 and 1103 may have been subsequent Hardy taxi numbers....

HTH
JJ