Smooth · 10 sequences
The sequences of the family “smooth”, by A-number, with the share of their decomposable terms in the level class (k > L).
- primes · 1717
- polynomial · 1232
- quadratic form · 430
- prime values · 423
- residue class · 357
- digit rule · 306
- multiplicative · 199
- Beatty · 86
- divisor functions · 58
- binary rule · 48
- self-referential · 35
- complement · 23
- powers · 22
- summatory · 21
- arithmetic progression · 10
- smooth · 10
- forced divisor · 9
- sieve · 8
- block · 5
- base case · 1
| A-number | Name | Level |
|---|---|---|
| A048098 | Numbers k that are sqrt(k)-smooth: if p | k then p^2 <= k when p is prime | 17.6 % |
| A051038 | 11-smooth numbers: numbers whose prime divisors are all <= 11 | 98.7 % |
| A064052 | Not sqrt(n)-smooth: some prime factor of n is > sqrt(n) | 9.5 % |
| A080197 | 13-smooth numbers: numbers whose prime divisors are all <= 13 | 93.1 % |
| A080681 | 17-smooth numbers: numbers whose prime divisors are all <= 17 | 79.2 % |
| A080682 | 19-smooth numbers: numbers whose prime divisors are all <= 19 | 55.6 % |
| A080683 | 23-smooth numbers: numbers whose prime divisors are all <= 23 | 41.5 % |
| A081311 | Numbers that can be written as sum of a prime and an 3-smooth number | 10.9 % |
| A081330 | Numbers that can be written as sum of two 3-smooth numbers | 61.6 % |
| A251726 | Numbers n > 1 for which gpf(n) < lpf(n)^2, where lpf and gpf (least and greatest prime factor of n) are given by A020639(n) and A006530(n) | 18.1 % |