17298645

Appears in sequences

• Number of permutations of [n+1] with exactly 1 increasing subsequence of length 3.at n=12A003517
• Maximum over k of the largest squarefree number dividing a value of binomial(n,k).at n=29A048681
• Largest gcd of two distinct numbers on row n of Pascal's triangle.at n=27A092394
• 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=29A101461
• a(n) = C(5*n-1,2*n)/3, n > 0, a(0) = 1.at n=6A259550
• Arises from enumeration of a certain class of partial zig-zag knight's paths on the square grid.at n=28A368379