178478
domain: N
Appears in sequences
- a(n) = 3^n + n^3.at n=11A001585
- Leyland numbers: 3, together with numbers expressible as n^k + k^n nontrivially, i.e., n,k > 1 (to avoid n = (n-1)^1 + 1^(n-1)).at n=34A076980
- Numbers of the form p^3 + 3^p for p prime.at n=4A097059
- Numbers of the form p^11 + 11^p for p prime.at n=1A097520
- Numbers of the form x^y + y^x, 1 < x < y.at n=28A173054
- Numbers of the form a^b+b^a, a and b are odd primes, b > a.at n=3A173055
- Numbers of the form a^b+b^a, a and b are primes.at n=12A173056
- 11^n + n^11.at n=3A177069
- a(n) = Sum_{p|n, p prime} p^sopf(n/p).at n=32A369912
- Triangle read by rows: T(n,k) is the number of open meanders with 2n crossings and k exterior top arches, 0 <= k <= n.at n=49A380369
- Expansion of Sum_{p prime} p * x^p / (1 - p * x^p).at n=32A382513
- Numbers that can be written as s^x + t^y, with 1 < s < t and {s,t} = {x,y}; that is, are of the form s^s + t^t or s^t + t^s.at n=38A385232