Finding the pattern in 4, 9, 50, 147, 605, 1352, 3757

[micromass]

4,9,50,147,605,1352,3757,...

It's not as stupid as the monster group

 

[holomorphic]

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.

 

[holomorphic]

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.

 

[micromass]

The sequence is $$1.2^2,1.3^2,2.5^2,3.7^2,5.11^2,8.13^2,13.17^2,...<br /> <br /> So it's a product with the Fibonacci sequence and the squares of primes...$$

 

[holomorphic]

The sequence is $$1.2^2,1.3^2,2.5^2,3.7^2,5.11^2,8.13^2,13.17^2,...<br /> <br /> So it's a product with the Fibonacci sequence and the squares of primes...$$

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