A004202: Skip 1, take 1, skip 2, take 2, skip 3, take 3, etc

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A004202.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A004202.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A004202.html

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
https://decompwlj.com/3Dgraph/Prime_numbers.html

A004201: Accept one, reject one, accept two, reject two, ...

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A004201.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A004201.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A004201.html

A003814: Numbers k such that the continued fraction for sqrt(k) has odd period length

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A003814.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A003814.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A003814.html

150 sequences decomposed into weight × level + jump in one GIF (log(weight),log(level)):
1000 on https://decompwlj.com/

A003796: Numbers with no 3 adjacent 0's in binary expansion

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A003796.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A003796.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A003796.html

Elegant mathematics bending the future of design

https://lemmy.ml/post/35079866

“Practical Julia” is designed to teach scientists how to use the best language for scientific computing in their work. It has chapters on
#physics, #mathematics, #biology, #statistics, and more, but begins with a self-contained, complete introduction to the language suitable for #programming beginners or experienced programmers.

https://amzn.to/3Jn1QdR

A review: https://lwn.net/Articles/966684/

https://medium.com/@fiberartsdecoded/how-crochet-math-and-code-fuse-exploring-the-amazing-butterfly-shape-88ba0b7b555e?sk=606550eb99a398328658097fda8a6dcf
Exploring how concepts surrounding mathematics and code translate to the tangible expression of crocheted items.
#crochet #algorithms #code #coding #crochetdesign #fiberarts #butterflycurve #butterfly #mathematics #equation #study #STEAM

Morgen ist Neumond. Wer selber nachsehen will: Mein mechanischer Mondrechner "Meton" lässt sich ausdrucken.

https://www.thomasweibel.ch/?post=rechner-aus-dem-drucker

@paulfoerster #moon #fullmoon #newmoon #history #antiquity #archaeology #astronomy #greece #babylon #mathematics #physics #astrophysics #mechanics #simulation #opendata #openglam #openeducation #3dprint #cad #digitalhumanities

#mathematics notations you didn't know you wanted :

A003726: Numbers with no 3 adjacent 1's in binary expansion

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A003726.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A003726.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A003726.html

My first, favorite and most important sequence, the weights of prime numbers: A117078
We see prime numbers classified by level and by weight on the graph.

A117078: a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists https://oeis.org/A117078

A003635: Inconsummate numbers in base 10: no number is this multiple of the sum of its digits (in base 10)

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

https://phys.org/news/2025-08-spacecraft-boost-origami-patterns.html

Origami. Mathematics. Space. What’s not to like!?

A003631: Primes congruent to 2 or 3 modulo 5

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A003631.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A003631.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A003631.html

My data have not been verified but my work is highly reproducible.
- Downloads (csv, img, dump) https://decompwlj.com
- Algorithms https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump#Algorithms

A003628: Primes congruent to {5, 7} mod 8

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A003628.html
3D graph Gen, threejs animation https://decompwlj.com/3DgraphGen/A003628.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A003628.html

"A mathematician has the capacity to perceive the world abstractly at a remarkable level of sophistication, often moving dozens of what they call 'mathematical objects' around in their heads for years while working on a single problem." – Mariana Cook (1955–)
#quote #mathematics #maths #math

See how fractals forever changed math and science…

In a 1975 book, the Polish-French-American mathematician Benoit B. Mandelbrot coined the term (fractal) to describe a family of rough, fragmented shapes that fall outside the boundaries of conventional geometry... #fractals #mathematics #science Source: See how fractals forever changed math and science

https://formuchdeliberation.wordpress.com/2025/08/21/see-how-fractals-forever-changed-math-and-science/