What Comes After 358885 in This Mysterious Sequence?

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The discussion revolves around identifying the next number in the sequence: 1, 5, 9, 101, 1385, 3493, 30121, 358885. Participants express frustration over the challenge format, suggesting that it should be clearer that the poster knows the answer. There's a mention of converting the sequence to base 4 to understand its pattern better. The conversation also shifts to another sequence, prompting further mathematical inquiry. The thread highlights both the challenge of deducing the next number and the community's engagement with mathematical puzzles.
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1, 5, 9, 101, 1385, 3493, 30121, 358885, ... ?

Anyone have any good ideas?
 
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TriTertButoxy said:
225859433

http://oeis.org/A098097

I'm assuming you cheated by searching for the terms...

Gotta admit, I'm a little bothered by the fact you precluded anyone from actually trying.
 
Perhaps you should state that you're issuing a math challenge and that you actually know what the answer is.
 
vr88 said:
Perhaps you should state that you're issuing a math challenge and that you actually know what the answer is.

I'm issuing a math challenge.

I actually know what the answer is.
 
I'm curious how someone would deduce the answer to this. You'd have to convert to base 4 before you could see the actual sequence being used, right?
 
DavidSnider said:
I'm curious how someone would deduce the answer to this. You'd have to convert to base 4 before you could see the actual sequence being used, right?

I, personally, would have to.
 
Sorry, I thought this was part of your research, and you wanted to know the answer. I didn't realize that this was a problem for the community.
 
how about this one, what's the next number?

1, 2, 42, 24024, ...
 

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