Cracking the Sequence: Solving the Mystery of 4,9,50,147,605,1352,3757...

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In summary, the sequence consists of products with the Fibonacci sequence and the squares of primes in increasing magnitude.
  • #1
micromass
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4,9,50,147,605,1352,3757,...

It's not as stupid as the monster group :biggrin:
 
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  • #2
micromass said:
4,9,50,147,605,1352,3757,...

It's not as stupid as the monster group :biggrin:

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
micromass said:
4,9,50,147,605,1352,3757,...

It's not as stupid as the monster group :biggrin:

What is it? I haven't figured it out.
 
  • #4
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,...

So it's a product with the Fibonacci sequence and the squares of primes...
 
  • #5
micromass said:
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,...

So it's a product with the Fibonacci sequence and the squares of primes...

Ahh, okay. I had looked at the prime decompositions, and noticed the progressing squared primes, but the Fibonacci part didn't click.
 

FAQ: Cracking the Sequence: Solving the Mystery of 4,9,50,147,605,1352,3757...

What is the purpose of "Yet another what's the next number"?

"Yet another what's the next number" is a mathematical puzzle that challenges individuals to find the pattern and predict the next number in a sequence.

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