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

Home

Decomposition of A000469

3D graph (WebGL) / 2D graph - First 500 terms
1 together with products of >=2 distinct primes.
A000469(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A000469 (9999 lines.)
Decomposition of A000469 - 9997 dots.

Decomposition of A000788

3D graph (WebGL) / 2D graph - First 500 terms
Total number of 1's in binary expansions of 0, ..., n.
A000788(n) = A000000(n) * A000000(n) + A000120(n)
Download CSV of the decomposition of A000788 (9999 lines.)
Decomposition of A000788 - 9997 dots.

Decomposition of Irregular primes

3D graph (WebGL) / 2D graph - First 500 terms
Irregular primes: p is regular if and only if the numerators of the Bernoulli numbers B_2, B_4, ..., B_{p-3} (A000367) are not divisible by p.
A000928(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of Irregular primes (9999 lines.)
Decomposition of Irregular primes - 9997 dots.

Decomposition of Lucky numbers

3D graph (WebGL) / 2D graph - First 500 terms
Lucky numbers.
A000959(n) = A130889(n) * A184828(n) + A031883(n)
Download CSV of the decomposition of Lucky numbers (10000 lines.)
Decomposition of Lucky numbers - 9998 dots.

Decomposition of Flavius Josephus's sieve

3D graph (WebGL) / 2D graph - First 500 terms
Flavius Josephus's sieve: Start with the natural numbers; at the k-th sieving step, remove every (k+1)-st term of the sequence remaining after the (k-1)-st sieving step; iterate.
A000960(n) = A000000(n) * A000000(n) + A056526(n)
Download CSV of the decomposition of Flavius Josephus's sieve (9999 lines.)
Decomposition of Flavius Josephus's sieve - 9996 dots.

Decomposition of Prime powers

3D graph (WebGL) / 2D graph - First 500 terms
Prime powers p^k (p prime, k >= 0).
A000961(n) = A184829(n) * A184831(n) + A057820(n)
Download CSV of the decomposition of Prime powers (10000 lines.)
Decomposition of Prime powers - 9998 dots.

Decomposition of A000977

3D graph (WebGL) / 2D graph - First 500 terms
Numbers that are divisible by at least three different primes.
A000977(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A000977 (9999 lines.)
Decomposition of A000977 - 9999 dots.

Decomposition of A001043

3D graph (WebGL) / 2D graph - First 500 terms
Numbers that are the sum of 2 successive primes.
A001043(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A001043 (10000 lines.)
Decomposition of A001043 - 9997 dots.

Decomposition of A001066

3D graph (WebGL) / 2D graph - First 500 terms
Dimensions (sorted, with duplicates removed) of real simple Lie algebras.
A001066(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of A001066 (9999 lines.)
Decomposition of A001066 - 9998 dots.

Decomposition of Twin primes

3D graph (WebGL) / 2D graph - First 500 terms
Twin primes.
A001097(n) = A000000(n) * A000000(n) + A000000(n)
Download CSV of the decomposition of Twin primes (9999 lines.)
Decomposition of Twin primes - 9996 dots.