108000

Appears in sequences

• Theta series of E_6 lattice.at n=35A004007
• Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361).at n=25A005934
• Number of paraffins.at n=28A006009
• Expansion of e.g.f.: exp(arcsin(x)-arcsinh(x))=1+2/3!*x^3+40/6!*x^6+450/7!*x^7+2240/9!*x^9...at n=10A013416
• sec(arcsin(x)-arcsinh(x))=1+40/6!*x^6+108000/10!*x^10+1232000/12!*x^12...at n=5A013420
• a(n) = 4*n^3.at n=30A033430
• For n>3: a(n) is a multiple of three distinct earlier terms.at n=26A060301
• Denominator of Sum_{k=1..n} phi(k)/k^3.at n=4A072159
• Number of non-associative non-commutative anti-associative anti-commutative closed binary operations on a set of order n.at n=3A079236
• Numbers n in which the last K digits of n form an integer divisible by K^3, for K = 1, 2, ..., M, where M is the number of digits in n.at n=53A079239
• Triangle T(n,k) read by rows, where T(n,k) = number of times the permanent of a real nonsingular n X n (0,1)-matrix takes the value k, for n >= 1, 1 <= k <= A000255(n).at n=32A089480
• Numbers n divisible by exactly four nontrivial permutations (rearrangements) of the digits of n.at n=8A090059
• Numbers containing squares of Pythagorean triples in their divisor set.at n=29A096472
• Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n.at n=22A097696
• Number of permutations of (1,3,5,7,9,...,2n-1) where every adjacent pair in the permutation are coprime.at n=8A107761
• Number of ways to arrange the numbers (1,3,5,7,9,...,2n-1) in a circle such that every two adjacent numbers are relatively prime.at n=9A107763
• Numbers of the form b^m/2 for even b and odd m > 2.at n=38A126032
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 1, -1), (1, 0, 0), (1, 1, 1)}.at n=9A150351
• Numbers n such that tau(phi(n)) = sigma(rad(n)).at n=30A173745
• a(n) = floor(1/{(1+n^4)^(1/4)}), where {} = fractional part.at n=29A184536