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Download QR code; Print/export Download as PDF ... -- Return unbolded if condition not met end-- Function to handle the Collatz logic and format sequence local ...
The sequence of numbers involved is sometimes referred to as the hailstone sequence, hailstone numbers or hailstone numerals (because the values are usually subject to multiple descents and ascents like hailstones in a cloud), [5] or as wondrous numbers. [6] Paul Erdős said about the Collatz conjecture: "Mathematics may not be ready for such ...
In the original Collatz sequence, the successor of n is either n / 2 (for even n) or 3n + 1 (for odd n). The value 3n + 1 is clearly even for odd n, hence the next term after 3n + 1 is surely 3n + 1 / 2 . In the sequence computed by the tag system below we skip this intermediate step, hence the successor of n is 3n + 1 / 2 ...
This template's documentation is missing, inadequate, or does not accurately describe its functionality or the parameters in its code. Please help to expand and improve it . The above documentation is transcluded from Template:Collatz sequence Generator/doc .
In algebra, the 3x + 1 semigroup is a special subsemigroup of the multiplicative semigroup of all positive rational numbers. [1] The elements of a generating set of this semigroup are related to the sequence of numbers involved in the still open Collatz conjecture or the "3x + 1 problem".
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Cats, for example, can make these squishy faces. More info: Reddit #1 Big Cat Isn't As Impressed As Small Cat! Image credits: TouchThaFishy #2 Found This Kitten In The Parking Garage At Work ...
English: This is a graph, generated in bottom-up fashion, of the orbits of all numbers under the Collatz map with an orbit length of 20 or less. Created with Graphviz, with the help of this Python program: # This python script generates a graph that shows 20 levels of the Collatz Conjecture.