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SidicusMaximus
Sid
Artist | Hobbyist | Digital Art
United States
I wasn't. Now I am. I will not be someday. That is ok.
Please Go to my redbubble site to get prints and Iphone/Ipad cases, Pillows, Totebags and Tshirts!

Thanks and have a great day!

www.redbubble.com/people/sidic…
Ok, if z(s)= 1+1/(2^s)+1/(3^s)+1/(4^s)+1/(5^s)+1/(6^s)+1/(7^s)+1/(8^s)+...

then if s=-1 then z(-1)=1+2+3+4+5+6+7+8... now you may know that this in the end all equals -(1/12) but im not interested in that in this entry.
and if s=-2 then z(-2)=1+4+9+46+25+36+49+64

Now the difference between each of these numbers are as follows: 3,5,7,9,11,13,15...

Notice that the difference between THOSE sets of number is this: 2,2,2,2,2,2,2,2....  

Interesting. I wonder what would happen if i did z(-3)=1+8+27+64+125+216+343+512....

and Thus that would mean that the difference between those number is: 7,19,37,61,91,2127,169,217....

I notice that the next differentiation is not "3" apart to my disappointment and is: 12,18,24,30,36,42,48,54....

But wait... If i do it one more time i get: 6,6,6,6,6,6,6....

Well I am not really sure what this means at this point but I know it has to have a meaning right?

What about z(-4)=1+16+81+256+625+1296+2401+4096.....
Diff level one:  15 65 175 369 671 1105 1695 2465
Diff level two:  50 110 194 302 434 590 770 974
diff level three:  60 84 108 132 156 180 204 228
Diff level four:  24 24 24 24 24 24 24 24

! I see a pattern emerging. For every whole negative s of the zeta function the s'th difference will be a constant.

I wonder if the constants have a pattern?:

2,6,24,120,720,5040,40320,362880,3628800.....

This does have a recurrence relationship of a(n+1) = (n+2)a(n) when n>1.  

You may ask yourself "so what?" and to that I would say... "idk but its interesting"

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:iconblipbl0p:
blipbl0p Featured By Owner 1 day ago  Hobbyist Digital Artist
hey, thanks for the +watch! I'm happy that you like my work. <3
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:iconsidicusmaximus:
SidicusMaximus Featured By Owner 1 day ago  Hobbyist Digital Artist
Yea, keep up the good work!
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:iconmiincdesign:
miincdesign Featured By Owner 6 days ago
Thank you so much for the watch!
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:iconsidicusmaximus:
SidicusMaximus Featured By Owner 6 days ago  Hobbyist Digital Artist
No problem! Keep up the good work!
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:iconuriahgallery:
UriahGallery Featured By Owner Aug 7, 2014  Professional Photographer
Thank you for the :llama:!

-Jonathan Uriah Denney
www.JonUriah.com

www.facebook.com/UriahGallery :pointl:
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:iconrecycledrelatives:
recycledrelatives Featured By Owner Aug 6, 2014  Hobbyist General Artist
:iconbigfav1plz::iconbigfav2plz::iconbigfav3plz::iconbigfav4plz: 
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:icontherafflesia:
TheRafflesia Featured By Owner Jul 20, 2014  Hobbyist Photographer
Thank you so much for the llama! :hug: Sorry for the late reply!
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:iconglo-he:
GLO-HE Featured By Owner Jun 22, 2014

   :iconthankyou1: :iconthankyou2: for :+fav: :iconflowerheartplz:                 

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:iconpoca2hontas:
poca2hontas Featured By Owner Jun 19, 2014  Hobbyist General Artist
Many thanks Sid for faving :hug:
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:iconghostlyectoplasm:
GhostlyEctoplasm Featured By Owner May 28, 2014  Hobbyist Traditional Artist
Sup? :3
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