4147200

Appears in sequences

• a(n) = n*(n-1)^4/2.at n=25A019583
• Numbers m such that uphi(sigma(m)) = 2m, where the unitary phi function (A047994) is defined by: if x = p1^r1*p2^r2*p3^r3*... then uphi(x) = (p1^r1 - 1)*(p2^r2 - 1)*(p3^r3 - 1)*...at n=20A030165
• Number of 3-fold-free subsets of {1, 2, ..., n}.at n=25A050293
• Size of the automorphism group of the group S_n x S_n (where S_n is the symmetric group).at n=5A063965
• Integers of the form phi(n!)/phi(n)!.at n=5A068114
• a(1) = 10, a(n) = a(n-1) times the number of digits in a(n-1).at n=11A110804
• Product of continued fraction terms of H(n) = Sum_{k=1..n} 1/k.at n=18A111047
• Numbers of divisors associated with the entries of A120585.at n=27A120586
• a(n) = (n-1)! * Product_{k=1..n-2} (n-k)!.at n=5A152653
• The pg(n) sequence that is associated with the Eta triangle A160464.at n=5A162440
• a(n) = ((n-1)! * (n+1)!) / n.at n=6A179442
• Sorted number of sizes of the automorphism groups of distinct solutions in the mix of regular convex polyhedra.at n=24A199549
• Number of length n mixed-radix numbers with base [2, 3, 4, ...] (factorial base) such that the parities of adjacent digits differ.at n=12A219024
• Minimum value of Product_{i in lambda} i!, where lambda ranges over all partitions of n into distinct parts.at n=18A290518
• If n = Sum (2^e_k) then a(n) = Product ((e_k + 2)!).at n=29A309841
• Number of solutions to x^n == 1 (mod n!).at n=29A318576
• a(n) is the least number with exactly n non-unitary square divisors.at n=32A358252
• Numbers with a record number of non-unitary square divisors.at n=19A358253
• Numbers k such that the sum of the digits of k times the square of the sum of the digits cubed of k equals k.at n=1A366507
• Triangular array T(n, k) read by rows: denominators of the coefficients for the iterated exponential F^{r}(x) = x + Sum_{n>=1} x^(n+1)*Sum_{k=1..n} r^(n+1-k)*A381932(n, k)/T(n, k) with F^{1}(x) = exp(x)-1 and F^{2}(x) = exp(exp(x)-1)-1.at n=40A381931