31752

Appears in sequences

• sigma_3(n): sum of cubes of divisors of n.at n=29A001158
• Number of walks of length n on square lattice, starting at origin, staying in first quadrant.at n=9A005566
• Expansion of e.g.f. arcsinh(arcsinh(x) * exp(x)).at n=8A012590
• Sum of cubes of unitary divisors of n.at n=29A034677
• a(n) = n^2*(n+1)*binomial(2*n-2, n-1)/2.at n=6A037972
• a(n) = n^3*Product_{distinct primes p dividing n} (1+1/p^3).at n=29A065959
• Partial sums of n 3-spaced triangular numbers beginning with t(3), e.g., a(2) = t(3)+t(6) = 6+21 = 27.at n=26A085788
• a(0)=1, a(n) = sigma_3(2n).at n=15A091986
• a(0)=1, a(n) = sigma_3(3n).at n=10A092341
• Non-perfect powers k for which q = A051903(k)/A051904(k) is an integer, A051904(k) > 1.at n=4A093770
• Triangle T(n,k) read by rows, T(n, k) = binomial(2*k, k)*binomial(n, k), 0<=k<=n.at n=50A098473
• Number triangle T(n,k) = C(n,n-k)*C(n+1,n-k).at n=49A103371
• 7-smooth numbers containing only noncomposite digits (1,2,3,5,7).at n=42A113623
• Mirror image of A098473 formatted as a triangular array.at n=49A117852
• Triangle read by rows, 1 <= m <= n: t(n,m) = lcm(s(n,m), S(n,m)), where s(n,m) is an unsigned Stirling number of the first kind and S(n,m) is a Stirling number of the second kind.at n=41A128264
• Triangle read by rows: A001263 * A127648 as infinite lower triangular matrices.at n=50A132813
• Number of permutations divided by the number of (binary) heaps on n elements.at n=14A132862
• Fifth column of triangle A103371 (without leading zeros).at n=5A134287
• Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+103)^2 = y^2.at n=11A157119
• a(n) = n^4*(n+1)^2/2.at n=6A163274