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

Home

Decomposition of A098058

Prime(n) such that 4 does not divide the difference between prime(n) and prime(n+1).
A098058(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A098058 - 9995 dots.

Decomposition of A099204

A variation on Flavius's sieve (A000960): Start with the natural numbers; at the k-th sieving step, remove every p-th term of the sequence remaining after the (k-1)-st sieving step, where p is the k-th prime; iterate.
A099204(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A099204 - 9996 dots.

Decomposition of A099309

Numbers n whose k-th arithmetic derivative is nonzero for all k. Complement of A099308.
A099309(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A099309 - 9997 dots.

Decomposition of A101082

Numbers n such that binary representation contains bit strings "10" and "01" (possibly overlapping).
A101082(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A101082 - 9998 dots.

Decomposition of A101095

Fourth difference of fifth powers (A000584).
A101095(n) = A000000(n) * A000000(n) + A000000(n)
Decomposition of A101095 - 9995 dots.