We have the following behaviour:
sage: var('a b')
sage: binomial(a,b)
binomial(a, b)
sage: q_binomial(a,b)
---------------------------------------------------------------------------
TypeError Traceback (most recent call
last)
/home/martin/martin/TeXSource/CyclicSieving/<ipython console> in
<module>()
/home/martin/SAGE/local/lib/python2.6/site-packages/sage/combinat/q_analogues.pyc
in q_binomial(n, k, p)
77 """
78
---> 79 return
q_factorial(n,p)/(q_factorial(k,p)*q_factorial(n-k,p))
80
81
/home/martin/SAGE/local/lib/python2.6/site-packages/sage/combinat/q_analogues.pyc
in q_factorial(n, p)
58 p^3 + 2*p^2 + 2*p + 1
59 """
---> 60 return prod([q_int(i,p) for i in range(1, n+1)])
61
62 def q_binomial(n,k,p=None):
TypeError: range() integer end argument expected, got
sage.symbolic.expression.Expression.
Would it make sense to allow symbolic arguments for q-analogues, too?
Martin
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