18858053

Properties

Appears in sequences

• a(n) = numerator of harmonic number H(n) = Sum_{i=1..n} 1/i.at n=20A001008
• Numerator of the n-th harmonic number H(n) divided by (n+1); a(n) = A001008(n) / ((n+1)*A002805(n)).at n=20A002547
• Absolute value of numerator of non-Euler-constant term of Laurent expansion of Gamma function at s = -n.at n=21A060746
• Prime values of A001008, the numerators of the harmonic numbers.at n=5A067657
• Reduced numerators of the raw moments of the distribution of areas for triangles picked at random in a unit square.at n=19A093158
• Let H(n) be the reduced fraction Sum_{i=1..n} 1/i. a(n) is the least factor of H(n)'s numerator or denominator that doesn't divide either part of any earlier H(m).at n=20A113571
• Largest prime factor of Stirling numbers of first kind s(n,2) = A000254(n).at n=19A120299
• Denominator of the harmonic mean of the first n positive integers.at n=20A175441
• Denominator of H(n)/H(n-1), where H(n) is the n-th harmonic number = Sum_{k=1..n} 1/k.at n=20A193758
• First bisection of harmonic numbers (numerators).at n=10A232180
• Least prime p such that H(n) == 0 (mod p) but H(k) == 0 (mod p) for no 0 < k < n, or 1 if such a prime p does not exist, where H(n) denotes the n-th harmonic number sum_{k=1..n}1/k.at n=20A242223
• Table, read by rows: row n contains the prime factors of A001008(n) (numerator of n-th harmonic number), with multiplicity.at n=40A308968
• Table, read by rows: row n contains the prime divisors of A001008 (numerator of n-th harmonic number), without repetitions.at n=33A308969
• Smallest prime factor of A001008(n), numerator of n-th harmonic number; a(1) = 1.at n=20A308970
• Largest prime factor of A001008(n), numerator of n-th harmonic number; a(1) = 1.at n=20A308971
• a(n) = denominator of AM(n)-HM(n), where AM(n) and HM(n) are the arithmetic and harmonic means of the first n positive integers.at n=20A368373
• Largest squarefree number dividing the numerator of harmonic number H(n).at n=20A382213
• Prime numbersat n=1202583