27720

Appears in sequences

• Landau's function g(n): largest order of permutation of n elements. Equivalently, largest LCM of partitions of n.at n=40A000793
• a(0)=12; thereafter a(n) = 12 times the product of the first n primes.at n=5A001041
• Highly composite numbers: numbers n where d(n), the number of divisors of n (A000005), increases to a record.at n=24A002182
• Maximal kissing number of n-dimensional laminated lattice.at n=21A002336
• Sum of the first n even squares: a(n) = 2*n*(n+1)*(2*n+1)/3.at n=27A002492
• Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=41A002790
• a(n) = denominator of harmonic number H(n) = Sum_{i=1..n} 1/i.at n=10A002805
• a(n) = denominator of harmonic number H(n) = Sum_{i=1..n} 1/i.at n=11A002805
• Increasing values of A000793 (largest order of permutation of n elements).at n=25A002809
• a(n) = LCM(1,2,...,n) / n.at n=12A002944
• Largest number divisible by all numbers < its n-th root.at n=3A003102
• Least common multiple (or LCM) of {1, 2, ..., n} for n >= 1, a(0) = 1.at n=11A003418
• Least common multiple (or LCM) of {1, 2, ..., n} for n >= 1, a(0) = 1.at n=12A003418
• Binomial coefficient C(4n,n-11).at n=3A004341
• Binomial coefficient C(7n,n-5).at n=3A004373
• Binomial coefficient C(8n,n-4).at n=3A004385
• Superabundant [or super-abundant] numbers: n such that sigma(n)/n > sigma(m)/m for all m < n, sigma(n) being A000203(n), the sum of the divisors of n.at n=22A004394
• Where records occur in A038548.at n=21A004778
• a(n) = 6*a(n-1) - a(n-2).at n=6A005319
• Maximal period of an n-stage shift register.at n=15A005417