68880

Appears in sequences

• Order of the group SL(2,Z_n).at n=40A000056
• a(n) = n*(n-1)*(n-2) (or n!/(n-3)!).at n=42A007531
• a(n) = 3*n*(3*n-1)*(3*n-2).at n=14A054776
• a(n) = lcm(6n+2, 6n+4, 6n+6).at n=13A061506
• Order of commutator subgroup of GL(2,Z_n) (invertible 2 X 2 matrices mod n: A000252).at n=40A065430
• a(n) = (2*n+2)*(2*n+3)*(2*n+4) = 24*A000330(n+1).at n=19A069074
• Number of conjugacy classes in the group GL(3,Z_n).at n=40A086768
• Numbers that can be expressed as the difference of the squares of primes in exactly seven distinct ways.at n=18A092003
• a(n) = sigma_3(n) - sigma_1(n).at n=40A092348
• The r-th term of the n-th row of the following triangle contains product of r successive numbers in decreasing order beginning from T(n)-T(r-1) where T(n) is the n-th triangular number. 1 3 2 6 20 6 10 72 210 24 15 182 1320 3024 120 ... Sequence contains the triangle by rows.at n=38A110768
• Triangle read by rows: T(n,k) = the number of ascending runs of length k in the permutations of [n] for k <= n.at n=29A122843
• Product of three numbers: n-th prime, previous number, and following number.at n=12A127917
• Averages of twin primes such that the sum of the lower, average and upper parts of the twin primes are averages of other twin primes.at n=23A132929
• Number of runs or rising sequences of length 2 among all permutations of n.at n=6A141052
• a(n) = 100*n^2 - 151*n + 57.at n=26A157626
• Denominator of (n+3) / ((n+2) * (n+1) * n).at n=39A168061
• Numbers with prime factorization p*q*r*s*t^4 (where p, q, r, s, t are distinct primes).at n=17A190110
• The number of the ordered triples (A,B,C) satisfying the system of the modular relations {A*B - B*A = C, B*C - C*B = A, C*A - A*C = B}, where A,B,C are distinct 2 X 2 matrices over Z(n).at n=40A194894
• Number of non-congruent solutions to x^2 + y^2 + z^2 + t^2 == 1 (mod n).at n=40A208895
• Exponent of the group of 2 X 2 invertible matrices over Z/nZ.at n=40A229292