If we define an addictive factorial for any integer n:(adsbygoogle = window.adsbygoogle || []).push({});

f(n) = n + (n-1) + (n-2) ..... 0

1!+ = 1

2!+ = 2+1 = 3

3!+ = 3+2+1 = 6

4!+ = 4+3+2+1 = 10

5!+ = 15

is it possible to extend it to real or possibly complex numbers by analytic continuation?

just like the gamma function extends the factorial.

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# Extending addictive factorial?

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