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

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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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A117804: Natural position of n in the string 12345678910111213...
A117804 ➡️ https://oeis.org/A117804

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A117804.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A117804.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A117804.html

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Decomposition into weight × level + jump of A117804 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A117804 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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A117223: Numbers n such that Phi(n,x) is a flat cyclotomic polynomial of order three
A117223 ➡️ https://oeis.org/A117223

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A117223.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A117223.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A117223.html

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Decomposition into weight × level + jump of A117223 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A117223 in 2D (log(weight), log(level))

A117048: Prime numbers that are expressible as the sum of two positive triangular numbers
A117048 ➡️ https://oeis.org/A117048

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A117048.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A117048.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A117048.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 A117048 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A117048 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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A116700: "Early bird" numbers: write the natural numbers in a string 12345678910111213.... Sequence gives numbers that occur in the string ahead of their natural place, sorted into increasing order (cf. A117804).
A116700 ➡️ https://oeis.org/A116700

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Early_bird_numbers.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/Early_bird_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Early_bird_numbers.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 "early bird" numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

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

A116459: Numbers k such that A003313(k) = A003313(3*k)
A116459 ➡️ https://oeis.org/A116459

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A116459.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A116459.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A116459.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 A116459 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A116459 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

A115921: Numbers k such that the decimal digits of phi(k) are a permutation of those of k
A115921 ➡️ https://oeis.org/A115921

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A115921.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A115921.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A115921.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 A115921 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A115921 in 2D (log(weight), log(level))

- 1 : Create a table in #Numbers 15
- 2 : Copy the table
- 3 : Paste in #Pages 14.5 ❌
Hum ... 🤔
- 4 : Paste in Pages 15 ✅
😮 🤦🏻‍♂️

Thanks #Apple ! you succeeded to kill #compatibility between 2 versions of your own software ! Well done Apple !

I can’t believe Apple is now so bad in #software ! 😭

Well done Apple, well done …. #macOS #Tahoe #Numbers

A113801: Numbers that are congruent to {1, 13} mod 14
A113801 ➡️ https://oeis.org/A113801

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A113801.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A113801.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A113801.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 A113801 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Decomposition into weight × level + jump of A113801 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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Decomposition into weight × level + jump of natural numbers: the fundamental theorem of arithmetic and the sieve of Eratosthenes

Graph in 2D (log(weight), log(level)) of the decomposition into weight × level + jump of natural numbers

Decomposition into weight × level + jump of prime numbers: in 2D with sequences on the OEIS: a new classification of primes

Graph in 2D (log(weight), log(level)) of the decomposition into weight × level + jump of prime numbers

A113502: A number n is included if at least one of its divisors > 1 is a triangular number (i.e., is of the form m(m+1)/2, m >= 2)
A113502 ➡️ https://oeis.org/A113502

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A113502.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A113502.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A113502.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