57888

Appears in sequences

• a(n) = Sum_{k=0..n} C(4*k,k)*C(4*(n-k),n-k).at n=5A078995
• Numbers with prime factorization pq^3r^5.at n=30A190011
• Number of n X 4 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically.at n=10A207678
• Composite numbers such that sum_{i=1..k} (p_i/(p_i+1))/product_{i=1..k} (p_i/(p_i+1)) is an integer, where p_i are the k prime factors of n (with multiplicity).at n=31A227248
• G.f.: Product_{j>=1} (1+x^j)^(3^j).at n=8A256142
• a(n) = n!*((n+1)/2 + 2*Sum_{k=2..n-1}(n-k)/(k+1)).at n=6A344216
• Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = Sum_{j=0..n} binomial(k*j,j) * binomial(k*(n-j),n-j).at n=50A358050