245642760

Appears in sequences

• Number of permutations of [n+1] with exactly 1 increasing subsequence of length 3.at n=14A003517
• Expansion of 1/(1-4*x)^(21/2).at n=7A020932
• Number of cycles in range [A014137(n-1)..A014138(n-1)] of permutation A089851/A089853.at n=18A089847
• 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=33A101461
• Arises from enumeration of a certain class of partial zig-zag knight's paths on the square grid.at n=32A368379