6375600

Appears in sequences

• Product of 5 consecutive integers.at n=25A052787
• E.g.f.: x^5*exp(x)-x^5.at n=25A052800
• a(n) = 5n*(5n-1)*(5n-2)*(5n-3)*(5n-4).at n=5A054778
• Group the natural numbers so that the product of the terms of the n-th group is just >= n!: (1), (2), (3, 4), (5, 6), (7, 8, 9), (10, 11, 12), (13, 14, 15, 16), (17, 18, 19, 20), (21, 22, 23, 24, 25), (26, 27, 28, 29, 30), ... Sequence gives product of numbers in each group.at n=8A075352
• Smallest product (n+1)(n+2)...(n+k) which is a multiple of n, where n+k is given by A061243.at n=19A081470
• Number of arrangements that can be formed by taking n distinct things out of 25.at n=5A104643
• a(n) = (n^2)! / (n^2-n)! = number of ways of placing n labeled balls into n^2 labeled boxes with at most one ball in each box.at n=5A227052
• Number of essentially different seating arrangements for 2n couples around a circular table with 4n seats such that no spouses are neighbors, the neighbors of each person have opposite gender and no person's neighbors belong to the same couple.at n=3A264801
• Expansion of e.g.f. -LambertW(x^3 * log(1-x))/6.at n=11A355993