I invented the decomposition into weight × level + jump, an extension to the fundamental theorem of arithmetic and a new way to see the numbers. #decompwlj
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OEISWiki (en) ➡️ oeis.org/wiki/Decomposition_…
Wikiversité (fr) ➡️ fr.wikiversity.org/wiki/Rech…
arXiv [math.NT] ➡️ arxiv.org/abs/0711.0865
1000 seq decomposed but my data have not been verified (dump, img and csv zipped) ➡️ decompwlj.com
decompwlj 3D: 5000 OEIS integer sequences decomposed into weight × level + jump with interactive 3D/2D three.js graphs - CSV exports - OEIS link - compare sequences - similar sequences...
➡️ decompwlj.net
Decomposition into weight × level + jump of OEIS sequence A035106: 1, together with numbers of the form k*(k+1) or k*(k+2), k > 0
Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A035106
Decomposition into weight × level + jump of OEIS sequence A008846: Hypotenuses of primitive Pythagorean triangles
Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A008846
Opus 5.5 report: Decompwlj and the Great Conjectures: Legendre, Andrica, Cramér, the Riemann Hypothesis, twin primes, Goldbach and Collatz where they touch
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decompwlj.com/weight-level-j…
The decomposition into weight × level + jump of natural numbers is the sieve of Eratosthenes
ALT Graph - 2D (log(weight),log(level)): decomposition into weight × level + jump of natural numbers: the sieve of Eratosthenes
Decompwlj of OEIS sequence A007378: a(n), for n >= 2, is smallest positive integer which is consistent with sequence being monotonically increasing and satisfying a(a(n)) = 2n
Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A007378
decompwlj 3D: 5000 OEIS integer sequences decomposed into weight × level + jump with interactive 3D/2D three.js graphs - CSV exports - OEIS link - compare sequences - similar sequences...
➡️ decompwlj.net
Decomposition into weight × level + jump of OEIS sequence A006995: Binary palindromes: numbers whose binary expansion is palindromic
Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A006995
Opus 5.5: A six-page introduction for Graduates to the decomposition into weight × level + jump of increasing integer sequences, with the primes as the main application.
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decompwlj.com/weight-level-j…
50 OEIS sequences decomposed into weight × level + jump (log(weight),log(level))
5000 sequences decomposed with interactive 3D/2D three.js graphs, CSV exports,OEIS link... ➡️ decompwlj.net
Decomposition into weight × level + jump of OEIS sequence A006881: Squarefree semiprimes: Numbers that are the product of two distinct primes
Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A006881
Decomposition into weight × level + jump of OEIS sequence A035008: Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere
Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A035008
Decomposition into weight × level + jump of OEIS sequence A005101: Abundant numbers (sum of divisors of m exceeds 2m)
Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A005101
Decomposition into weight × level + jump of OEIS sequence A004207: a(0) = 1, a(n) = sum of digits of all previous terms
Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A004207
decompwlj 3D: 5000 OEIS integer sequences decomposed into weight × level + jump with interactive 3D/2D three.js graphs - CSV exports - OEIS link - compare sequences - similar sequences...
➡️ decompwlj.net
Decomposition into weight × level + jump of OEIS sequence A006567: Emirps (primes whose reversal is a different prime)
Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A006567
Opus 5.5 report: Decompwlj and the Great Conjectures: Legendre, Andrica, Cramér, the Riemann Hypothesis, twin primes, Goldbach and Collatz where they touch
⬇️
decompwlj.com/weight-level-j…
50 OEIS sequences decomposed into weight × level + jump (log(weight),log(level))
5000 sequences decomposed with interactive 3D/2D three.js graphs, CSV exports,OEIS link... ➡️ decompwlj.net
Decomposition into weight × level + jump of OEIS sequence A005349: Niven (or Harshad, or harshad) numbers: numbers that are divisible by the sum of their digits
Interactive 3D/2D threejs graphs - CSV download - OEIS link ➡️ decompwlj.net/seq/A005349
decompwlj 3D: 5000 OEIS integer sequences decomposed into weight × level + jump with interactive 3D/2D three.js graphs - CSV exports - OEIS link - compare sequences - similar sequences...
➡️ decompwlj.net