\[sec:acsv\] justifies why the work of Pemantle and Wilson [@PeWi13] is applicable, with the asymptotic results computed in Section \[sec:results\]. We discuss the sub-dominant growth, and compute an example in Section \[sec:lot\]. Section \[sec:tele\] discusses the differential equations satisfied by these generating functions, and how to use creative telescoping techniques to find them. We tabulate some small examples. We conclude with a discussion of how these walks fit into the context of walks in Weyl chambers, which allows us to obtain results on the asymptotics of walk excursions, and also to consider other families of walks.

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\(B) [Determine functional equation for $F({\ensuremath{\mathbf{z}}},t)$]{} ; (C)

  -- ------------------------------------------------------------
     Represent $F({\ensuremath{\mathbf{z}}},t)$ as the
     positive part of rational $R({\ensuremath{\mathbf{z}}},t)$
  -- ------------------------------------------------------------

; (D)

  -- -------------------------------------------------------------------------------
     Convert to a diagonal
     extraction of $G({\ensuremath{\mathbf{y}}},t)/H({\ensuremath{\mathbf{y}}},t)$
  -- -------------------------------------------------------------------------------

; (E) [Find the critical points of $\mathbb{V}(H)$]{}; (F) [Refine to minimal points of $\mathbb{V}(H)$]{}; (G)

  -- ----------------------------------
     Find asymptotics via formulas
     of Pemantle and Wilson [@PeWi13]
  -- ----------------------------------

; (C) – node (B) ; (D) – node (C) ; (E) – node (D) ; (F) – node (E) ; (F) – node (G) ;

Deriving a diagonal expression for the generating 