Status: New
Owner: ----
Labels: Type-Defect Priority-Medium Solvers WrongResult
New issue 3669 by [email protected]: rsolve(F(n) + F(n - 2) + F(n -
1),F(n)) return 0
http://code.google.com/p/sympy/issues/detail?id=3669
But rsolve able to solve a more generic problem:
In [17]: rsolve(x/2*F(n) + x/2*F(n - 2) + F(n - 1),F(n))
Out[17]:
n n
⎛ __________ ⎞ ⎛ ⎛ __________ ⎞⎞
⎜ ╱ 2 ⎟ ⎜ ⎜ ╱ 2 ⎟⎟
⎜╲╱ - x + 1 - 1⎟ ⎜-⎝╲╱ - x + 1 + 1⎠⎟
C₀⋅⎜─────────────────⎟ + C₁⋅⎜────────────────────⎟
⎝ x ⎠ ⎝ x ⎠
Mathematica:
In[1]:= RSolve[F[n] + F[n - 2] + F[n - 1] == 0, F, n]
Out[1]=
1 I n 1 I n
{{F -> Function[{n}, (-(-) - - Sqrt[3]) C[1] + (-(-) + - Sqrt[3]) C[2]]}}
2 2 2 2
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