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Odd Chebyshev, part 1
QUESTION Find all triples of odd natural numbers $\ a < b\ $ and $\ c\ $ such that $\ a+b = c-1\ $ and
$$ \frac {c!!}{a!!\cdot b!!}\ =\ \frac {P(c)}{P(b)} $$
where $\ P(x) \ $ is the product of ...
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