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Nov 2, 2023 at 22:20 comment added Jair Taylor I agree with @Per Alexandersson. I think the hardest part is not coming up with a new formula per se, but coming up with something new that others would be particularly interested in. After that the task is to communicate it to those people in an understandable way that acknowledges the literature and respects the conventions of the field.
Nov 2, 2023 at 20:47 comment added Per Alexandersson I might disagree. Coming up with a 'new' formula is not that difficult. One can count some family of (combinatorial) objects, see if one gets a hit in the OEIS, and presto, a (conjectured) formula might be discovered. The hard part is to prove it, but it might not be difficult. I am supervising a bachelor student at the moment, and from his data, we could guess a formula (well, these turned out to be Fibonacci numbers) and it was easy to also prove this fact.
Nov 2, 2023 at 16:56 history edited Anyon CC BY-SA 4.0
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Nov 2, 2023 at 16:03 history edited MPIchael CC BY-SA 4.0
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Nov 2, 2023 at 10:56 history edited MPIchael CC BY-SA 4.0
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Nov 2, 2023 at 9:57 history answered MPIchael CC BY-SA 4.0