Unexpected result for the sum of a series

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I typed

n = var('n')

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

sage answered

3/256*pi^2 - 1/32

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

3/256*pi^2

Why?

Link to WolframAlpha's result.

(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!)

asked Nov 15 '12

Pierre-Yves Gaillard gravatar image Pierre-Yves Gaillard
23 4

updated Jun 03 '13

tmonteil gravatar image tmonteil
4158 5 41 93
http://wiki.sagemath.org/...
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i dont like this answer (click again to cancel) Pierre-Yves Gaillard has selected this answer as correct

This is a bug. It is now #13712 on the Sage issue tracker.

Sage calls Maxima to evaluate symbolic sums. Somebody will have to pass the report upstream to the Maxima developers.

Thanks for your report.

link

posted Nov 15 '12

burcin gravatar image burcin
1108 12 34
http://erocal.org/burcin
1

This has been reported upstream at Maxima artifact 3587514.

kcrisman (Nov 15 '12)

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Asked: Nov 15 '12

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Last updated: Nov 15 '12

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