33525

Appears in sequences

• a(n) = (1/24)*(n+1)*(n+3)*(n^2+22*n+88).at n=25A090950
• "Model 1" for number of free alkanes on n points.at n=10A126939
• Absolute value of coefficient of x^3 in polynomial whose zeros are 5 consecutive integers starting with the n-th integer.at n=11A127694
• Number of ways to choose disjoint strict rooted partitions of each part in a strict rooted partition of n.at n=35A301756
• Expansion of Product_{k>=1} (1 + x^k)^(d(k)-1), where d(k) = number of divisors of k (A000005).at n=43A318844
• Number of fully chiral integer partitions of n.at n=41A330228
• G.f. A(x) satisfies A(x) = 1 - x/A(x)^2 * (1 - A(x) - A(x)^4).at n=10A371891
• Numbers k for which gcd(k, A003961(k)) = gcd(sigma(k), A003961(k)) > 1, and that satisfy Euler's condition for odd perfect numbers (A228058).at n=1A387166
• Terms k of A228058 for which A048146(k)+A162296(k) >= 2*k, where A048146 is the sum of non-unitary divisors, and A162296 is the sum of divisors that have a square factor.at n=45A389219