516096

Appears in sequences

• Place n distinguishable balls in n boxes (in n^n ways); let f(n,k) = number of ways that max in any box is k, for 1<=k<=n; sequence gives triangle of numbers f(n,k)/n.at n=40A019576
• 16-almost primes (generalization of semiprimes).at n=14A069277
• Commuting elements: number of ordered pairs g, h in the group GL(2,Z_n) such that gh = hg.at n=11A070943
• a(n) = the least positive integer k satisfying Omega(k) = Omega(k-1)+...+Omega(k-n) if such k exists; = 0 otherwise. (Omega(n) (A001222) denotes the number of prime factors of n, counting multiplicity.)at n=5A076183
• Number of permutations p of (1,2,3,...,n) such that k+p(k) is a Fibonacci number for 1 <= k <= n.at n=51A097082
• Greatest common divisor of multiperfect numbers and their totient.at n=26A098204
• a(n)=n for n <= 3, a(n) = 2a(n-1) - 2a(n-2) + 2a(n-3) for n >= 4.at n=31A104767
• Smallest number beginning with 5 and having exactly n prime divisors counted with multiplicity.at n=15A106425
• Triangle read by rows: G(s, rho) = ((s-1)!/s)*Sum_{i=0..s-1} ((s-i)/i!)*(s*rho)^i.at n=33A122525
• Number of subsets of {1,2,...,n} which contain no three consecutive odd numbers.at n=19A127195
• Expansion of 1/(1 - x + x^3 - 3*x^4 + x^5 - x^7 + x^8).at n=43A147593
• a(n) = binomial(n + 5, 5) * 8^n.at n=4A173155
• Triangle read by rows: terms T(n,k) of a binomial decomposition of n as Sum(k=0..n)T(n,k).at n=39A244131
• Central terms of triangle A249307.at n=11A249308
• Triangle read by rows: T(n,k) = k*(n-1)!*n^(n-k-1)/(n-k)!, 1 <= k <= n.at n=30A259334
• Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 443", based on the 5-celled von Neumann neighborhood.at n=20A288335
• Triangle read by rows: T(0,0) = 1; T(n,k) = T(n-1,k) + 8 * T(n-2,k-1) for k = 0..floor(n/2); T(n,k)=0 for n or k < 0.at n=53A317026
• Denominator of the expected fraction of guests without a napkin in Conway's napkin problem with n guests.at n=7A341233
• Theta series of the canonical laminated lattice LAMBDA_31.at n=5A345662
• Heinz numbers of integer partitions whose product equals their length.at n=26A353699