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What is the term for a factorial type operation, but with summation instead of products?
We're all familiar with factorial: $n>0,\quad n! = n \times (n-1) \times \cdots \times (n-(n-1))$
I've occasionally seen "plustorial": $n>0,\quad n(\mathrm{plustorial}) = n + (n-1) + \ldots + (n-(n-1))$
Some quick web searching indicates that there is some non-standard but somewhat common usage of the term "plustorial" to describe this, with shorthand being a double-dagger or an exclaimation point having a "+" rather than a dot beneath the vertical mark.
My question is: Is there a "real" standard name for this process and is there a standard corresponding shorthand? I understand that it could be written in sigma notation, was curious about something more terse.