Here is what I did
Integral at n = 33.333 (proposed. This formula is okayish if we replace 33.333 by numbers from 5 to 50. The factorials between 10 and 100 can be calculated.)
Actual value of 66.666! ((2*33.333)!)
These are the complete statements on 4.666 thing that I blogged about two days back.
This finishes on 4.666 number.
The results for 212 with a bigger polynomial correction.
4 to me is 4 directions. 666 is considered bad omen.
ReplyDelete0.89 minus 2.88 by n to the power 0.95 has golden ratio properties. If equated to zero, n to the power 0.95 nearly equals 2 into 1.618. Also 2.88 is 4.666 into 0.618.
To me 0.89 minus 2.88 by n to the power 0.95 stays.
ReplyDeleteTo get more approximate match a polynomial of n can be used.
The polynomial can be made of higher degree to get much better results.
This is what I currently think of.
Advanced concepts like gamma function with 2 or more variables are needed. Probably other Advanced concepts too.
ReplyDeleteIf I get a chance I am interested in working with a team.
I have used 6 degree polynomial correction factor and have pasted the results. The following are the results.
ReplyDeleteAt n =212 , 91% accuracy. At n = 12, 92% accuracy. At n = 112, 60% accuracy.