48919
domain: N
Appears in sequences
- Numbers n such that n through n+6 are divisible by the same number of distinct primes.at n=26A045935
- Numbers n such that n through n+7 are divisible by the same number of distinct primes.at n=5A045936
- Numbers n such that n through n+8 are divisible by the same number of distinct primes.at n=1A045937
- Numbers n such that n through n+9 are divisible by the same number of distinct primes.at n=0A045938
- Numbers k such that n or more consecutive integers starting at k have the same number of distinct prime divisors.at n=9A045983
- Let d(n) = number of distinct primes dividing n (A001221). Find smallest t such that d(t)=d(t+1)=...=d(t+n-1) but d(t-1) and d(t+n) are not = d(t); then a(n)=t.at n=9A048932
- Let d(n) = number of distinct primes dividing n (A001221); sequence gives t such that d(t)=d(t+1)=...=d(t+n-1) is a run of record length.at n=6A048971
- Duplicate of A045983.at n=9A075042
- a(n) is the first number in the first run of at least n successive numbers, all having exactly 3 distinct prime factors.at n=9A080569
- Convolution of A000203 with partition function (A000041) of positive integers.at n=23A086732
- Sum of all parts of the partitions of n, minus sigma(n).at n=24A162329
- Initial term of first run of exactly n consecutive numbers with 3 distinct prime factors.at n=9A185032
- Smallest positive number k such that there are exactly n successive equal values of A001221 starting at k, i.e., such that A305234(k) = n.at n=9A305235