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As for terminology, the reasoning "'''linear-recursive''' is used extensively throughout the article" applies equally well to '''constant-recursive''' because all instances of "constant-recursive" were replaced with "linear-recursive" when the title was changed. So I still don't see good motivation for the recent renaming. The unfortunate fact is that there is no one established name for these sequences. "linear-recursive" is not great because it doesn't distinguish between recurrences with constant coefficients and recurrences with polynomial coefficients where <math>s(n + i)</math> also appear linearly. "constant-recursive"/"C-recursive"/"C-finite" are used less widely but have the advantages that they make this distinction and they parallel "polynomial-recursive"/"P-recursive". [[User:Eric Rowland|Eric Rowland]] ([[User talk:Eric Rowland|talk]]) 16:37, 22 November 2021 (UTC)
: I am fine with reverting back to the terminology '''constant-recursive''' based on your argument, and merging [[Recurrence relation#Solving homogeneous linear recurrence relations with constant coefficients]] into [[Linear difference equation]]. I still favor renaming [[Linear difference equation]] to [[Linear recurrence with constant coefficients]]. Waiting for further discussion in case D.Lazard wants to chime in, otherwise I will go ahead and take this direction in a couple of days. [[User:Caleb Stanford|Caleb Stanford]] ([[User talk:Caleb Stanford|talk]]) 17:34, 22 November 2021 (UTC)
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