63525
domain: N
Appears in sequences
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 24.at n=20A031702
- a(1)=10; if n = Product p_i^e_i, n > 1, then a(n) = Product p_{i+1}^e_i * Product p_{i+3}^e_i.at n=17A045973
- a(n) = T(n)^2 - n^2, where T(n) is a triangular number.at n=22A085740
- Edge-rooted tree-like octagonal systems (see the Cyvin et al. reference for precise definition).at n=6A121112
- Numbers with exactly 4 distinct odd prime divisors {3,5,7,11}.at n=14A147577
- a(n) = 441*n^2 + 21.at n=12A158603
- a(n) is the Severi degree for curves of degree n and cogenus 2.at n=11A171108
- Number of pairs of intersecting diagonals in the exterior of a regular n-gon.at n=30A211381
- Number of intersections of diagonals in the exterior of a regular n-gon.at n=30A211382
- a(n) = n-th Rhonda number to base b = n-th composite number, cf. A002808.at n=16A255880
- Number of (n+1) X (2+1) arrays of permutations of 0..n*3+2 with each element having index change +-(.,.) 0,0 1,-2 or 2,-1.at n=7A264122
- T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 1,-2 or 2,-1.at n=37A264128
- T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 1,-2 or 2,-1.at n=43A264128
- Square root of the prime factor form (A276086) of the primorial base expansion, computed for such numbers for which it is a square.at n=59A328834
- Numbers k with property that k is the least logarithmically smooth numbers (meaning largest prime factor of k is less than log(k)) having squarefree kernel equal to squarefree kernel of k.at n=23A333961
- a(n) is the least number k such that there are exactly n pairs (p,q) of primes with p<q such that p+q = 2*k and that 2*k+p, 2*k+q, p*q-2*k and p*q+2*k are primes.at n=22A354462
- Numbers that are divisible by the squares of two distinct primes and whose arithmetic derivative (A003415) is a squarefree number of the form 4k+2.at n=14A368697