I wrote a note on a student’s text about “amount” and “number", and I was going to write it up as a daily post, but then I wondered if I already had written about the topic—and I did, back in 2021.

#English #Amount #Number #CountNouns #NonCountNouns #Grammar #Prescriptivism #Descriptivism #Language #Linguistics

https://andrewjshields.blogspot.com/2021/05/amount-number-and-count-and-non-count.html

A003485: Hurwitz-Radon function at powers of 2

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A003485.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A003485.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A003485.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

#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

A003309: Ludic numbers: apply the same sieve as Eratosthenes, but cross off every k-th remaining number

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

A003277: Cyclic numbers: k such that k and phi(k) are relatively prime; also k such that there is just one group of order k, i.e., A000001(k) = 1

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

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

#decompwlj #math #mathematics #maths #Algorithms #Downloads #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

A003136: Loeschian numbers: numbers of the form x^2 + xy + y^2; norms of vectors in A2 lattice

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

A003052: Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m)

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

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