57120

Appears in sequences

• Expansion of ( Sum_{n = -infinity..infinity} x^(n^2) )^(-7).at n=6A004408
• Numbers k such that k+1 and k/2+1 are squares.at n=3A008845
• a(n) = floor( n*(n-1)*(n-2)*(n-3)/22 ).at n=35A011932
• Numbers j such that sigma(sigma(j)) = k*j for some k.at n=32A019278
• Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (2,13)-perfect numbers.at n=0A019290
• Number of points of l_1 norm n in the "diamond" lattice D^+_4.at n=35A035878
• Periodic vertical binary vectors of powers of 3, starting from bit-column 2 (halved).at n=3A037097
• Triangle T(n,k) (0 <= k <= n) giving number of chains of length k in partially ordered set formed from subsets of n-set by inclusion.at n=32A038719
• Starts of runs of exactly 6 consecutive nonsquarefree numbers.at n=5A049535
• Products of 4 consecutive integers: a(n) = n*(n-1)*(n-2)*(n-3).at n=17A052762
• a(n) = n*(n-1)*(n-2)*(n-3) for n>=5.at n=17A052768
• Triangle T(n,k) (n >= 1, 0<=k<=n) giving number of preferential arrangements of n things beginning with k (transposed, then read by rows).at n=30A054255
• a(n) = product of numbers from prime(n)+1 up to prime(n+1), where prime(n) is the n-th prime.at n=5A072472
• a(n) = (n-1)!*binomial(3*n,n)/(3*(2*n+1)).at n=4A076151
• Numbers sandwiched between two numbers having only one prime divisor (at least) one of which is composite.at n=40A088072
• Triangle read by rows: T(n,k) = number of preferential arrangements of n things where the first object has rank k.at n=33A090665
• Numbers that can be expressed as the difference of the squares of primes in exactly ten distinct ways.at n=2A092006
• Erroneous version of A058832.at n=7A101469
• a(n+3) = a(n+2) + 3*a(n+1) + a(n).at n=15A111352
• Denominator of -16/((n+2)*n*(n-2)*(n-4)).at n=31A117465