# Revision history [back]

### Unexpected result for the sum of a series

I typed

n = var('n')

sum(1/((2n-1)^2(2n+1)^2(2*n+3)^2), n, 0, oo)

3/256*pi^2 - 1/32

By hand computation (via Fourier series), and by WolframAlpha I got

3/256*pi^2

Why?

(This is my first question. If it is inappropriate here, please tell me where I should ask it. I used the tag "bug", but I of course mean "potential bug". Thank you very much in advance!)

 2 code formatting burcin 1188 ●15 ●36 http://erocal.org/burcin

### Unexpected result for the sum of a series

I typed

n = var('n')var('n')
sum(1/((2n-1)^2(2n+1)^2(2*n+3)^2), sum(1/((2*n-1)^2*(2*n+1)^2*(2*n+3)^2), n, 0, oo)oo)


3/256*pi^2 - 1/321/32


By hand computation (via Fourier series), and by WolframAlpha I got

3/256*pi^2

Why?

(This is my first question. If it is inappropriate here, please tell me where I should ask it. I used the tag "bug", but I of course mean "potential bug". Thank you very much in advance!)

 3 retagged tmonteil 21078 ●25 ●152 ●390 http://wiki.sagemath.o...

### Unexpected result for the sum of a series

I typed

n = var('n')

sum(1/((2*n-1)^2*(2*n+1)^2*(2*n+3)^2), n, 0, oo)


3/256*pi^2 - 1/32