A008917: Numbers that are the sum of 3 positive cubes in more than one way
A008917 ➡️ https://oeis.org/A008917

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A008917.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A008917.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008917.html

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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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A008864: a(n) = prime(n) + 1
A008864 ➡️ https://oeis.org/A008864

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A008864.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A008864.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008864.html

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A008851: Congruent to 0 or 1 mod 5
A008851 ➡️ https://oeis.org/A008851

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A008851.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A008851.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008851.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

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

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A008846: Hypotenuses of primitive Pythagorean triangles
A008846 ➡️ https://oeis.org/A008846

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A008846.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A008846.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008846.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

A008810: a(n) = ceiling(n^2/3)
A008810 ➡️ https://oeis.org/A008810

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A008810.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A008810.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A008810.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