Updates:
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Comment #24 on issue 1525 by asmeurer: No integration by substitution
http://code.google.com/p/sympy/issues/detail?id=1525
Actually, I bisected that to this commit:
commit 0f187e5244f7795a30dfce44cba4348e397fcef2
Author: Mateusz Paprocki <[email protected]>
Date: Tue May 17 23:18:57 2011 +0200
Finalized implementation of Gosper's algorithm
In [1]: from sympy.concrete.gosper import gosper_sum
In [2]: gosper_sum(binomial(2*k, k)/4**k, (k, 0, n))
Out[2]:
-n
4 ⋅(1 + 2⋅n)⋅Binomial(2⋅n, n)
In [3]: gosper_sum(_, (n, 0, n))
Out[3]:
-n
4 ⋅(1 + 2⋅n)⋅(3 + 2⋅n)⋅Binomial(2⋅n, n)
────────────────────────────────────────
3
In [4]: gosper_sum(_, (n, 0, n))
Out[4]:
-n
4 ⋅(1 + 2⋅n)⋅(3 + 2⋅n)⋅(5 + 2⋅n)⋅Binomial(2⋅n, n)
──────────────────────────────────────────────────
15
It's only showing up now because that was an IPython test that I just fixed
from issue 2203.
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