Add to ORKGA tetration is defined as repeated exponentiation. As an example, 2 tetrated 4 times is 2^(2^(2^2)) = 2^16. Tetrated numbers grow rapidly; however, we will see that when tetrating where computations are performed mod n for some positive integer n, there is convergent behavior. We will show that, in general, this convergent behavior will always show up
The widespread availability of pocket calculators has widened the domain of possible investigations ...
In 1987 Knopfmacher and Knopfmacher published new infinite product expansions for real numbers 0 1....
AbstractTo give examples of large combinatorial problems D. Knuth modified W. Ackermann's example of...
A tetration is defined as repeated exponentiation. As an example, 2 tetrated 4 times is 2^(2^(2^2)) ...
An arithmetic formula is an expression involving only the constant 1, and the binary operations of a...
Profinite objects are mathematical constructions used to collect, in a uniform manner, facts about i...
We propose a class assignment where students are asked to construct and implement an efficient algor...
AbstractWith the binomial coefficients (kn) being defined for all integers n,k, several forms of the...
In this article we formalize in Mizar the maximum number of steps taken by some number theoretical a...
In this paper I make the following conjecture: for any arithmetic progression a + b*k, where at leas...
We solve a few open problems related to a peculiar property of the integer tetration ${^{b}a}$, whic...
In this talk, we survey facts mostly emerging from the seminal results of Alan Cobham obtained in th...
Knowledge about Number Bases and Number TheoryTake the fraction 1/7 as an example. The digits 1, 4, ...
AbstractSeveral classical combinatorial quantities—including factorials, Bell numbers, tangent numbe...
It is known that if a ∈ ℂ \(−∞,−¼) and an → a as n → ∞, then the infinite continued fraction with co...
The widespread availability of pocket calculators has widened the domain of possible investigations ...
In 1987 Knopfmacher and Knopfmacher published new infinite product expansions for real numbers 0 1....
AbstractTo give examples of large combinatorial problems D. Knuth modified W. Ackermann's example of...
A tetration is defined as repeated exponentiation. As an example, 2 tetrated 4 times is 2^(2^(2^2)) ...
An arithmetic formula is an expression involving only the constant 1, and the binary operations of a...
Profinite objects are mathematical constructions used to collect, in a uniform manner, facts about i...
We propose a class assignment where students are asked to construct and implement an efficient algor...
AbstractWith the binomial coefficients (kn) being defined for all integers n,k, several forms of the...
In this article we formalize in Mizar the maximum number of steps taken by some number theoretical a...
In this paper I make the following conjecture: for any arithmetic progression a + b*k, where at leas...
We solve a few open problems related to a peculiar property of the integer tetration ${^{b}a}$, whic...
In this talk, we survey facts mostly emerging from the seminal results of Alan Cobham obtained in th...
Knowledge about Number Bases and Number TheoryTake the fraction 1/7 as an example. The digits 1, 4, ...
AbstractSeveral classical combinatorial quantities—including factorials, Bell numbers, tangent numbe...
It is known that if a ∈ ℂ \(−∞,−¼) and an → a as n → ∞, then the infinite continued fraction with co...
The widespread availability of pocket calculators has widened the domain of possible investigations ...
In 1987 Knopfmacher and Knopfmacher published new infinite product expansions for real numbers 0 1....
AbstractTo give examples of large combinatorial problems D. Knuth modified W. Ackermann's example of...
