2414425

Appears in sequences

• a(n) = 5*binomial(2n, n-2)/(n+3).at n=11A000344
• If n | a(n) then a(n+1) = a(n)/(highest power of n that divides a(n)), otherwise a(n+1) = n*a(n); a(0) = 1.at n=25A065422
• Row maximum of Catalan triangle with zeros (A053121), i.e., maximum value of (m+1)*binomial(n+1,(n-m)/2)/(n+1) for given n with m same parity as n.at n=26A101461
• Arises from enumeration of a certain class of partial zig-zag knight's paths on the square grid.at n=25A368380