One day, one decomposition
A000028: Let k = p_1^e_1 p_2^e_2 p_3^e_3 ... be the prime factorization of n. Sequence gives k such that the sum of the numbers of 1's in the binary expansions of e_1, e_2, e_3, ... is odd.

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A000028.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A000028.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A000028.html

Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:

1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html

One day, one decomposition
A000027: The positive integers. Also called the natural numbers, the whole numbers or the counting numbers

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/Natural_numbers.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/Natural_numbers.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/Natural_numbers.html

#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D natural #counting #whole #numbers #positive #integers #graph #threejs #webGL

Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:

1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html

One day, one decomposition
A279607: Beatty sequence for e/2; i.e., a(n) = floor(n*e/2)

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A279607.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A279607.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A279607.html

Do Numbers Feel Sad? - Marcus du Sautoy on Within Reason

Here's my go-to cheatsheet for troubleshooting issues in Fedora:

1. Disable SELinux

Thanks for reading!

Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:

1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html

One day, one decomposition
A277593: Numbers k such that k/10^m == 6 mod 10, where 10^m is the greatest power of 10 that divides n

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A277593.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A277593.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A277593.html

Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:

1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html

One day, one decomposition
A277591: Numbers k such that k/10^m == 4 mod 10, where 10^m is the greatest power of 10 that divides n

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A277591.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A277591.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A277591.html

LOL if you ask ChatGPT for random numbers, more likely than not it will pick 42 (Thanks to Douglas Adams)

And funny enough, 73 is extremely popular, which I will blame on all of us ham radio folks out here. (73 is a traditional number code for saying goodbye on ham radio). #hamradio

Someone, somewhere, is going to win a lottery or drawing somewhere by picking the numbers most likely to be picked by an LLM, soon. Somebody is going to get the (dumb) idea to use one of the LLMs to pick winning numbers for their drawing, and it's going to be the most frequent choices due to the weighting towards specific numbers within the training material. (42 and 73 will be in there, LOL).

h/t @rrmutt

https://www.leniolabs.com/artificial-intelligence/2023/10/04/42-GPTs-answer-to-Life-the-Universe-and-Everything/

Hengenvaara – Livsfara #dangeroflife #typography #numbers #rust #photography #ricohgr3x

Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:

1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html

One day, one decomposition
A277590: Numbers k such that k/10^m == 3 mod 10, where 10^m is the greatest power of 10 that divides n

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A277590.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A277590.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A277590.html

Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:

1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html