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A192607: Nonludic numbers: complement of A003309
A192607 ➡️ https://oeis.org/A192607

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

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Decomposition into weight × level + jump of nonludic numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of nonludic numbers in 2D (log(weight), log(level))

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

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A191113: Increasing sequence generated by these rules: a(1)=1, and if x is in a then 3x-2 and 4x-2 are in a
A191113 ➡️ https://oeis.org/A191113

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A191113.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A191113.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A191113.html

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Decomposition into weight × level + jump of A191113 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A191113 in 2D (log(weight), log(level))

A190898: Least odd prime p>n^2 with (n/p) = 1, where ( / ) is the Legendre symbol
A190898 ➡️ https://oeis.org/A190898

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A190898.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A190898.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A190898.html

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Decomposition into weight × level + jump of A190898 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A190898 in 2D (log(weight), log(level))

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

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A190803: Increasing sequence generated by these rules: a(1)=1, and if x is in a then 2x-1 and 3x-1 are in a
A190803 ➡️ https://oeis.org/A190803

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A190803.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A190803.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A190803.html

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Decomposition into weight × level + jump of A190803 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A190803 in 2D (log(weight), log(level))

A187813: Numbers n whose base-b digit sum is not b for all bases b >= 2
A187813 ➡️ https://oeis.org/A187813

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A187813.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A187813.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A187813.html

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Decomposition into weight × level + jump of A187813 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A187813 in 2D (log(weight), log(level))

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

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Algorithm of the decomposition into weight × level + jump in PARI/GP from the OEIS Wiki

A185086: Fouvry-Iwaniec primes: Primes of the form k^2 + p^2 where p is a prime
A185086 ➡️ https://oeis.org/A185086

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

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Decomposition into weight × level + jump of Fouvry-Iwaniec primes in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of Fouvry-Iwaniec primes in 2D (log(weight), log(level))

Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ https://decompwlj.com

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4: The palindromes in base 10 (A002113) ➡️ https://decompwlj.com/3DgraphGen/Palindromes.html

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3: The triangular numbers (A000217) ➡️ https://decompwlj.com/3DgraphGen/Triangular_numbers.html

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2: The prime numbers (A000040) ➡️ https://decompwlj.com/3DgraphGen/Prime_numbers.html

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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

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A184774: Primes of the form floor(k*sqrt(2))
A184774 ➡️ https://oeis.org/A184774

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A184774.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A184774.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A184774.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A184774 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A184774 in 2D (log(weight), log(level))

In the decomposition into weight × level + jump, the Twin Prime Conjecture becomes: "The number of prime numbers with a weight of 3 is infinite"

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Decomposition into weight × level + jump of prime numbers in 3D (log(weight), log(level), log(jump)) - threejs - webGL with an highlight on lesser or twin primes

A182760: Beatty sequence for (3 + 5^(-1/2))/2
A182760 ➡️ https://oeis.org/A182760

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A182760.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A182760.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A182760.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A182760 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A182760 in 2D (log(weight), log(level))

A182318: List of positive integers whose prime tower factorization, as defined in comments, does not contain the prime 2
A182318 ➡️ https://oeis.org/A182318

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A182318.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A182318.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A182318.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Decomposition into weight × level + jump of A182318 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A182318 in 2D (log(weight), log(level))

We see the fundamental theorem of arithmetic and the sieve of Eratosthenes in the decomposition into weight × level + jump of natural numbers. Applied to prime numbers this decomposition leads to a new classification of primes.

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