67500

Appears in sequences

• Triangle of coefficients in expansion of (3+5x)^n.at n=24A013622
• Triangle whose (n,k)-th entry is 15^(n-k)*binomial(n,k).at n=24A027467
• a(n) = 225*(n-1)*(n-2)/2.at n=23A027470
• Triangle whose (i,j)-th entry is binomial(i,j)*5^(i-j)*3^j.at n=24A038245
• For n>3: a(n) is a multiple of three distinct earlier terms.at n=23A060301
• Non-perfect powers k for which q = A051903(k)/A051904(k) is an integer, A051904(k) > 1.at n=10A093770
• Multiples of 4 that are primally tight and have strictly ascending powers.at n=30A145108
• Totally multiplicative sequence with a(p) = 5*(p+1) for prime p.at n=23A166645
• Triangle T(n,k) read by rows: T(n,k) = (m*n - m*k + 1)*T(n - 1, k - 1) + k*(m*k - (m - 1))*T(n - 1, k) where m = 2.at n=25A166961
• A000145(n) / 8 - (n^5 + 1).at n=26A188671
• Numbers with prime factorization p^2*q^3*r^4 where p, q, and r are distinct primes.at n=9A190115
• Strong Achilles numbers: Achilles numbers m such that phi(m) is also an Achilles number, where phi(m) denotes Euler's totient function of m.at n=26A194085
• Fixed points of A225546.at n=35A225547
• Integer areas A of the integer-sided triangles such that the inradius and the radius of the three excircles are perfect squares.at n=5A233317
• Let x(0)x(1)... x(q-1)x(q) denote the decimal expansion of a number n. The sequence lists the numbers such that n and the number represented by its middle digits x(1)x(2)...x(q-1) have the same distinct prime divisors.at n=31A243812
• Number of 3-colored Schroeder paths of semilength n in which there are no (2,0)-steps at level 1.at n=7A257072
• a(n) = (4*n+8)*n^2.at n=25A258617
• a(n) = Product_{k=0..n} p(k)^k, where p(k) is the partition function A000041.at n=4A259373
• LB numbers: positive integers of the form m = a*10^k+b (with a > 0 and b < 10^k) satisfying two properties: 1) the set of prime factors of m is the union of the sets of prime factors of a and b; and 2) A001222(m) = A001222(a) + A001222(b).at n=17A267856
• a(n) = Product_{d|n, d<n} A276086(d).at n=57A319708