An
-pseudoprogression is an increasing list of numbers for which there are at most
distinct differences between consecutive terms. This object generalizes the
notion of an arithmetic progression. We give two counts for the number of
-term
-pseudo
progressions in
.
We also provide computer-generated tables of values which agree
with both counts and graphs that display the growth rates of these
functions. Finally, we present a generating function which counts
-term
progressions in
whose differences are all distinct, and we discuss further directions in Ramsey
theory.
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