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Results tagged with oeis
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user 9550
The acronym OEIS stands for the On-Line Encyclopedia of Integer Sequences, a well-known database of sequences of integers. It can be used for questions where this database is (or might be) relevant, mainly questions about particular sequences of integers. This tag is typically used in combination with other tags to make the scope of the question more precise; common examples of such tags include the top-level tags co.combinatorics and nt.number-theory.
19
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1
answer
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Number of distinct values taken by x^x^...^x with parentheses inserted in all possible ways
For what positive x's the number of distinct values taken by x^x^...^x with parentheses inserted in all possible ways is not represented by the sequence A000081? Is it exactly the set of positive alge …
16
votes
1
answer
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Number of distinct values taken by $\alpha$ ^ $\alpha$ ^ $\dots$ ^ $\alpha$ with parentheses...
Let $\alpha\in\mathbf{Ord}$ and $n\in\mathbb{N}^+$.
Let $F_\alpha(n)$ be the number of distinct values taken by ordinal exponentiation $\underbrace{\alpha \hat{\phantom{\hat{}}} \alpha \hat{\phantom{ …
- 6,819
42
votes
2
answers
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Numbers that are generic w.r.t. exponentiation
underbrace{x\hat{\phantom{\hat{}}}x\hat{\phantom{\hat{}}}\dots\hat{\phantom{\hat{}}}x}_{n\text{ occurences of }x}\tag1$$
by inserting parentheses in all possible ways depends on $n$ and is given by the OEIS …
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12
votes
1
answer
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Integrals of power towers
The cardinality of elements $\left|\mathcal S_n\right|$ is counted by the $\small\text{OEIS}$ sequence $A000081$, which has been studied pretty well. … that the value of a function at $x=0$ is the right limit of the corresponding expression for $x\to0^+$ (the limit can be either $0$ or $1$, the numbers of each outcome are counted by the $\small\text{OEIS …
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