Multiple zeta values ending with a fixed string

We give a generating series expression for the sum of all multiple zeta values of a fixed weight, depth, and height, which end with a given string ⃗ = (₁,…,ᵣ); this builds upon the proof of the Ohno-Zagier Theorem. In particular, the sum of all multiple zeta values of fixed weight, depth and ending with ⃗ has bounded depth ≤ ₁ + ⋯ + ᵣ. We give some applications to evaluations of interpolated multiple zeta values, and to the generating series of double zeta values.