User:Jason Kimberley/Omega

A001221: Number of distinct primes dividing n (also called omega(n)).

A027748: Triangle in which first row is 1, n-th row (n>1) lists distinct prime factors of n.

A001222: Number of prime divisors of n counted with multiplicity (also called bigomega(n) or Omega(n)).

A027746: Triangle in which first row is 1, n-th row (n>1) gives prime factors of n with repetition.

Patterns in consecutive terms of A001222

A076191: Consecutive differences of A1222.

A115186: Smallest number m such that A1222(m)=A1222(m+1).

List $s$ contains those $n$ with $\left\{A1222(n+i):0\leq i<s\right\}=\left\{r\right\}$ for some $r$ .

List $r$ contains the starters of record-breaking runs of consecutive integers $i$ with A1222 $(i) = r$ .

A045984: a(n) = smallest number m such that the n consecutive terms of A1222 starting at m are identical.

A077657: Least number with exactly n consecutive successors, all having the same number of prime factors (counted with multiplicity).

A117969: Start of least run of maximal length of consecutive n-almost primes.

A072875: Smallest starter m for a run of n consecutive numbers, with A1222(m+i-1)=i.