Decomposition into weight × level + jump - all 2D graphs

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Decomposition of Odd numbers

3D graph (WebGL) / 2D graph - First 500 terms / Generation of 3D graph
The odd numbers: a(n) = 2n+1.
A005408(n) = A090368(n-1) * A184726(n) + 2
Download CSV of the decomposition of Odd numbers (10000 lines.)
Decomposition of Odd numbers - 9998 dots.

Decomposition of A005574

3D graph (WebGL) / 2D graph - First 500 terms / Generation of 3D graph
Numbers n such that n^2 + 1 is prime.
A005574(n) = A000000(n) * A000000(n) + A214516(n)
Download CSV of the decomposition of A005574 (9999 lines.)
Decomposition of A005574 - 9995 dots.

Decomposition of A005658

3D graph (WebGL) / 2D graph - First 500 terms / Generation of 3D graph
If n appears so do 2n, 3n+2, 6n+3.
A005658(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A005658 (10000 lines.)
Decomposition of A005658 - 9997 dots.

Decomposition of A005837

3D graph (WebGL) / 2D graph - First 500 terms / Generation of 3D graph
Lexicographically earliest increasing sequence of positive numbers that contains no 4-term arithmetic progression.
A005837(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A005837 (9999 lines.)
Decomposition of A005837 - 9995 dots.

Decomposition of A005839

3D graph (WebGL) / 2D graph - First 500 terms / Generation of 3D graph
Lexicographically earliest increasing nonnegative sequence that contains no 4-term arithmetic progression.
A005839(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A005839 (9999 lines.)
Decomposition of A005839 - 9995 dots.

Decomposition of Even numbers

3D graph (WebGL) / 2D graph - First 500 terms / Generation of 3D graph
The even numbers: a(n) = 2n.
A005843(n) = A090369(n-1) * A184727(n) + 2
Download CSV of the decomposition of Even numbers (10000 lines.)
Decomposition of Even numbers - 9998 dots.

Decomposition of A005846

3D graph (WebGL) / 2D graph - First 500 terms / Generation of 3D graph
Primes of form n^2 + n + 41.
A005846(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A005846 (9999 lines.)
Decomposition of A005846 - 9999 dots.

Decomposition of Primitive pseudoperfect numbers

3D graph (WebGL) / 2D graph - First 500 terms / Generation of 3D graph
Primitive pseudoperfect numbers.
A006036(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of Primitive pseudoperfect numbers (9999 lines.)
Decomposition of Primitive pseudoperfect numbers - 9996 dots.

Decomposition of Weird numbers

3D graph (WebGL) / 2D graph - First 500 terms / Generation of 3D graph
Weird numbers: abundant (A005101) but not pseudoperfect (A005835).
A006037(n) = A000000(n) * A000000(n) + A125109(n)
Download CSV of the decomposition of Weird numbers (9999 lines.)
Decomposition of Weird numbers - 9997 dots.

Decomposition of A006073

3D graph (WebGL) / 2D graph - First 500 terms / Generation of 3D graph
Numbers n such that n, n+1 and n+2 all have same number of distinct prime divisors.
A006073(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A006073 (9999 lines.)
Decomposition of A006073 - 9995 dots.