- #1
- 22,170
- 3,333
4,9,50,147,605,1352,3757,...
It's not as stupid as the monster group
It's not as stupid as the monster group
Cracking the Sequence: Solving the Mystery of 4,9,50,147,605,1352,3757...
- Context: Undergrad
- Thread starter micromass
- Start date
Click For Summary
Discussion Overview
The discussion revolves around identifying the pattern or rule governing the sequence 4, 9, 50, 147, 605, 1352, 3757. Participants explore various hypotheses and approaches to understand the sequence's formation, including connections to prime numbers and the Fibonacci sequence.
Discussion Character
- Exploratory, Technical explanation, Debate/contested
Main Points Raised
- Some participants express uncertainty about the nature of the sequence, with one participant admitting they have not figured it out.
- One participant proposes that the sequence can be expressed as a product involving the Fibonacci sequence and the squares of prime numbers, specifically noting the terms as [tex]1.2^2,1.3^2,2.5^2,3.7^2,5.11^2,8.13^2,13.17^2,...
- Another participant acknowledges having noticed the squared primes but did not initially connect it to the Fibonacci aspect.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the sequence's rule, with multiple competing views and ongoing exploration of ideas.
Contextual Notes
Some assumptions about the sequence's structure and the relationships between its components remain unexamined, and the mathematical steps leading to the proposed models are not fully resolved.
- #2
holomorphic
- 91
- 0
micromass said:4,9,50,147,605,1352,3757,...
It's not as stupid as the monster group
For the record, I don't think the monster group is stupid--that's silly--but I would never have remembered the prime factors of its order, ordered first by decreasing powers and then by increasing magnitude.
- #3
holomorphic
- 91
- 0
micromass said:4,9,50,147,605,1352,3757,...
It's not as stupid as the monster group
What is it? I haven't figured it out.
- #4
- 22,170
- 3,333
The sequence is [tex]1.2^2,1.3^2,2.5^2,3.7^2,5.11^2,8.13^2,13.17^2,...<br />
<br />
So it's a product with the Fibonacci sequence and the squares of primes...[/tex]
- #5
holomorphic
- 91
- 0
[tex] <br /> Ahh, okay. I had looked at the prime decompositions, and noticed the progressing squared primes, but the Fibonacci part didn't click.[/tex]micromass said:
Similar threads
- · Replies 7 ·
- · Replies 9 ·
- · Replies 17 ·
- · Replies 4 ·
- · Replies 1 ·
- · Replies 0 ·
- · Replies 8 ·
- · Replies 0 ·
- · Replies 1 ·