Find the pattern: 12, 44, 130, 342, 840

  • Thread starter Thread starter beamthegreat
  • Start date Start date
Click For Summary
The discussion revolves around identifying a pattern in the sequence 12, 44, 130, 342, 840, and others. Participants debate the validity of the sequence and its source, with the original poster confirming it comes from population growth data in the game Civilization V. Several mathematical approaches are suggested, including polynomial and exponential fits, with one participant deriving a specific formula for the nth term: (n+1)(2^(n+1)-2-n). The conversation highlights the challenges of finding a precise function for the sequence while emphasizing the use of software tools for analysis. Ultimately, the community engages in problem-solving and sharing methods for tackling similar mathematical sequences.
  • #31
Double Exp.JPG
It is clearly a double exponential.
 
Mathematics news on Phys.org
  • #32
zoki85 said:
... There's possibility no analytical function that coincides with all terms exactly ...
Example? What is the shortest such sequence?
 
  • #33
Keith_McClary said:
Example? What is the shortest such sequence?
No sequence is determined by giving finite number of terms
 
  • #34
zoki85 said:
No sequence is determined by giving finite number of terms
I thought you were saying that there might be no function that agrees with the given finite number of terms. Of course there are many such functions.
 

Similar threads

Graduate Is this Recursive Pattern in the Collatz Sequence Known?
  • · Replies 3 ·
Replies
3
Views
736
A bucket contains 11 letters....
  • · Replies 3 ·
Replies
3
Views
2K
Proving the results for the trace of a matrix
  • · Replies 4 ·
Replies
4
Views
2K
Tedious Simplification: Show expression is real
  • · Replies 2 ·
Replies
2
Views
2K
MHB Appending a number to itself n times and finding modulo m
  • · Replies 6 ·
Replies
6
Views
3K
High School Amount of Plasma [g] in nuclear fusion designs
  • · Replies 1 ·
Replies
1
Views
1K
Engineering Noise Floor/Device Temperature Problem
  • · Replies 3 ·
Replies
3
Views
2K
MHB Number patterns and sequences - Tn Term
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Analytical formula for the number of patterns by using combinations?
  • · Replies 12 ·
Replies
12
Views
2K
Mathematical Model needed for new product.
  • · Replies 4 ·
Replies
4
Views
3K