Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
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1: The natural numbers (A000027) ➡️ https://decompwlj.com/3DgraphGen/Natural_numbers.html

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A066031: Composite numbers n the sum of whose prime factors divides n, but which are not themselves powers of primes

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A066031.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A066031.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A066031.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

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

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

A065496: Numbers n such that sigma(n) is a nontrivial power, i.e., sigma(n) = a^b where a and b are greater than 1.

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A065496.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A065496.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A065496.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

A065108: Numbers expressible as a product of Fibonacci numbers

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A065108.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A065108.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A065108.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

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.

#decompwlj #math #mathematics #maths #sequence #OEIS #graph #natural #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research