177650

Appears in sequences

• a(n) = 5*binomial(2n, n-2)/(n+3).at n=9A000344
• 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=22A101461
• Triangle, read by rows, defined by: T(n,k) = (4*k+1)*binomial(2*n+1, n-2*k)/(2*n+1) for n >= 2*k >= 0.at n=37A119245
• 10th column of Catalan triangle A009766.at n=4A124088
• Number of ballot sequences of length n having 9 largest parts.at n=13A244106
• Arises from enumeration of a certain class of partial zig-zag knight's paths on the square grid.at n=21A368380