What Comes After 358885 in This Mysterious Sequence?

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SUMMARY

The discussion centers around the mathematical sequence that begins with the numbers 1, 5, 9, 101, 1385, 3493, 30121, and 358885. A user references the Online Encyclopedia of Integer Sequences (OEIS) entry A098097, which provides context for the sequence. The conversation highlights the necessity of converting the sequence to base 4 to deduce the next number accurately. Participants express frustration over the challenge's presentation and the need for clarity regarding the problem's intent.

PREREQUISITES
  • Understanding of integer sequences and their properties
  • Familiarity with the Online Encyclopedia of Integer Sequences (OEIS)
  • Basic knowledge of number base conversions, specifically base 4
  • Experience with mathematical problem-solving and challenges
NEXT STEPS
  • Research the properties of the sequence listed in OEIS A098097
  • Learn about base conversion techniques, particularly converting to base 4
  • Explore mathematical challenges and problem-solving strategies in number theory
  • Investigate other integer sequences and their applications in mathematics
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Mathematicians, educators, and students interested in number theory, as well as enthusiasts of mathematical challenges and integer sequences.

holomorphic
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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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