Hi Craig, this is something really interesting that you discovered, I going to look at it some more by myself but I tried it for 2016 and got a final sum 9. It is definitely an interesting thing I will get back to you with some more information.
I got bored a while back and deiced to create a table of the integer inputs of f(x)=(1+i)^x and I noticed quiet a few patterns which I am trying to catalog here, although most of my work so far deal with Natural inputs, all patterns continue into the negative, see here, I was wondering if anyone...