On Sun, Jun 13, 2010 at 4:37 PM, William Stein <wst...@gmail.com> wrote:
> Here's what you can do in Sage (or Maxima):
> Unfortunately, just doing
>
> sage: var('n')
> n
> sage: sum((4/(8*n+1)-2/(8*n+4)-1/(8*n+5)-1/(16*n+12)-1/(16*n+14)), n, 0,oo)
>
> in sage leads to:
>
> TypeError: unable to make sense of Maxima expression
> '-(22*log(2)-2*psi[0](7/8)-4*psi[0](5/8)+16*psi[0](1/8)-pi+10*euler_gamma)/32'
> in Sage
This is fixed in 4.4.4.alpha1 (when it comes out) by #9217.
sage: var('n')
n
sage: sum((4/(8*n+1)-2/(8*n+4)-1/(8*n+5)-1/(16*n+12)-1/(16*n+14)), n, 0,oo)
1/32*pi - 5/16*euler_gamma - 1/2*psi(1/8) + 1/8*psi(5/8) +
1/16*psi(7/8) - 11/16*log(2)
--Mike
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