# Fill The grid - 3.0

Can you fill this grid ? Version ($$\pi$$) In text:

?14516
243748
120581
17186?
01?857


HINT 1

It's a big spiral!!!

HINT 2

It starts from 0 at the center!

HINT 3

Colors included to identify

• Wait, are you declaring π = 3.0 now? Indiana, is that you? – Rubio May 6 '19 at 17:50
• 3rd partial sum in some $\pi$ approximation? – z100 May 6 '19 at 18:58
• No, 3.0 stands for my 3rd puzzle and $\pi$ is the clue. – Ak19 May 7 '19 at 1:33
• Rubio LOL!( I love this site!) – George Menoutis May 7 '19 at 7:11
• @PiIsNot3 ... Rubio's comment... – Omega Krypton May 7 '19 at 16:41

The final grid is

014516
243748
120581
171869
010857

And the pattern is

A clockwise spiral out from the center of the following function, displayed such that each digit of a multidigit number occupies one grid square
f(1)=0, f(n+1)=f(n)+O(n+(-1)^n) where O(n) is the nth odd number, or 2n-1
example: f(2) = f(1)+O(3) = 0+5 = 5, F(3) = f(2)+O(2) = 5+3 = 8...

• One member deleted a comment using more intuitive solution, based on sequence of "almost squares" $0,5,8,17,24,37,48,65,80,101,120,145,168,197$ which represents $f(n)=n^2-(-1)^n$. Of course your solution is totaly equivalent, so upvoted it. – z100 May 7 '19 at 19:55
• I must be missing something obvious here - but how does this link with 𝜋 being the clue? – MichaelMaggs May 7 '19 at 21:18