## Formula Development (Ascent Portion)

### -- Collatz trajectory (eqn 1 to get T_{s}(n) applies in the upward direction)

-- start at any leaf set, apply eqn 1 iteratively

until the
extension (l.d.a. header) is reached

-- result is complete characterization of all elements of a

particular
left descent by their formula

-- coefficients have the form 2^{a}*3^{b}

-- examine an illustrative table

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