Rémi Eismann · @decompwlj
149 followers · 503 posts · Server mathstodon.xyz

One day, one decomposition
A039004: Numbers whose base-4 representation has the same number of 1's and 2's

3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A039004.
2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

#webgl #threejs #graph #representation #base #numbers #3d #php #javascript #oeis #sequence #mathematics #maths #decompwlj

Last updated 1 year ago

Rémi Eismann · @decompwlj
149 followers · 496 posts · Server mathstodon.xyz
Rémi Eismann · @decompwlj
147 followers · 494 posts · Server mathstodon.xyz
Rémi Eismann · @decompwlj
147 followers · 493 posts · Server mathstodon.xyz
Rémi Eismann · @decompwlj
147 followers · 491 posts · Server mathstodon.xyz

My first, favorite and most important sequence, the weights of prime numbers
⬇️
oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

This sequence has led to the decomposition into weight × level + jump ➡️ oeis.org/wiki/Decomposition_in

#numbertheory #decomposition #graph #numbers #primes #mathematics #classification #primenumbers #oeis #sequences #math #decompwlj

Last updated 1 year ago

Rémi Eismann · @decompwlj
147 followers · 491 posts · Server mathstodon.xyz
Rémi Eismann · @decompwlj
147 followers · 489 posts · Server mathstodon.xyz


The decomposition into weight × level + jump of natural numbers is the fundamental theorem of arithmetic ; applied to prime numbers, it leads to a new classification of primes

1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download
⬇️⬇️
decompwlj.com

➡️ OEISWiki page: Decomposition into weight × level + jump : oeis.org/wiki/Decomposition_in
➡️ arXiv:0711.0865 [math.NT]: Decomposition into weight * level + jump and application to a new classification of primes: arxiv.org/abs/0711.0865

#fundamentaltheoremofarithmetic #decomposition #integer #math #webgl #threejs #oeis #graphs #numbertheory #arithmetic #classification #primenumbers #primes #mathematics #theory #3d #sieve #graph #numbers #sequences #maths #decompwlj

Last updated 1 year ago

Rémi Eismann · @decompwlj
147 followers · 487 posts · Server mathstodon.xyz
Rémi Eismann · @decompwlj
147 followers · 486 posts · Server mathstodon.xyz
Rémi Eismann · @decompwlj
147 followers · 482 posts · Server mathstodon.xyz
Rémi Eismann · @decompwlj
147 followers · 481 posts · Server mathstodon.xyz
Rémi Eismann · @decompwlj
147 followers · 481 posts · Server mathstodon.xyz


The decomposition into weight × level + jump of natural numbers is the fundamental theorem of arithmetic ; applied to prime numbers, it leads to a new classification of primes

1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download
⬇️⬇️
decompwlj.com

➡️ OEISWiki page: Decomposition into weight × level + jump : oeis.org/wiki/Decomposition_in
➡️ arXiv:0711.0865 [math.NT]: Decomposition into weight * level + jump and application to a new classification of primes: arxiv.org/abs/0711.0865

#decomposition #integer #math #webgl #threejs #oeis #graphs #numbertheory #arithmetic #classification #primenumbers #primes #mathematics #theory #3d #sieve #graph #numbers #sequences #maths #decompwlj

Last updated 1 year ago

Rémi Eismann · @decompwlj
147 followers · 478 posts · Server mathstodon.xyz

One day, one decomposition
A038528: If n has decimal expansion abc...d, with k digits, let f(n) be obtained by deleting all k's from abc...d, closing up and deleting initial 0's; sequence gives n such that f(f(f(...(n)))) = 0 or empty

3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A038528.
2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

#webgl #threejs #graph #digits #expansion #decimal #numbers #3d #php #javascript #oeis #sequence #mathematics #maths #decompwlj

Last updated 1 year ago

Rémi Eismann · @decompwlj
146 followers · 477 posts · Server mathstodon.xyz
Rémi Eismann · @decompwlj
146 followers · 477 posts · Server mathstodon.xyz


The decomposition into weight × level + jump of natural numbers is the fundamental theorem of arithmetic ; applied to prime numbers, it leads to a new classification of primes

➡️ OEISWiki page: Decomposition into weight × level + jump : oeis.org/wiki/Decomposition_in
➡️ arXiv:0711.0865 [math.NT]: Decomposition into weight * level + jump and application to a new classification of primes: arxiv.org/abs/0711.0865

#decomposition #integer #math #webgl #threejs #oeis #graphs #numbertheory #arithmetic #classification #primenumbers #primes #mathematics #theory #3d #sieve #graph #numbers #sequences #maths #decompwlj

Last updated 1 year ago

Rémi Eismann · @decompwlj
146 followers · 477 posts · Server mathstodon.xyz


The decomposition into weight × level + jump of natural numbers is the fundamental theorem of arithmetic ; applied to prime numbers, it leads to a new classification of primes

➡️ OEISWiki page: Decomposition into weight × level + jump : oeis.org/wiki/Decomposition_in
➡️ arXiv:0711.0865 [math.NT]: Decomposition into weight * level + jump and application to a new classification of primes: arxiv.org/abs/0711.0865

#decomposition #integer #math #webgl #threejs #oeis #graphs #numbertheory #arithmetic #classification #primenumbers #primes #mathematics #theory #3d #sieve #graph #numbers #sequences #maths #decompwlj

Last updated 1 year ago

Rémi Eismann · @decompwlj
146 followers · 474 posts · Server mathstodon.xyz
Rémi Eismann · @decompwlj
147 followers · 471 posts · Server mathstodon.xyz

One day, one decomposition
A038133: From a subtractive Goldbach conjecture: odd primes that are not cluster primes

3D graph, threejs - webGL ➡️ decompwlj.com/3Dgraph/A038133.
2D graph, first 500 terms ➡️ decompwlj.com/2Dgraph500terms/

#webgl #threejs #graph #primenumbers #numbers #3d #php #javascript #oeis #sequence #mathematics #maths #decompwlj

Last updated 1 year ago

José A. Alonso · @Jose_A_Alonso
863 followers · 1848 posts · Server mathstodon.xyz

The logical approach to automatic sequences (Exploring combinatorics on words with Walnut). ~ Jeffrey Shallit. google.es/books/edition/The_Lo

#oeis #math #walnut #atp

Last updated 1 year ago

José A. Alonso · @Jose_A_Alonso
863 followers · 1847 posts · Server mathstodon.xyz

Using Walnut to prove results about sequences in the OEIS. ~ Jeffrey Shallit. cs.uwaterloo.ca/~shallit/Talks

#oeis #math #atp

Last updated 1 year ago