653752

Appears in sequences

• a(n) = 5*binomial(2n, n-2)/(n+3).at n=10A000344
• Alkane (or paraffin) numbers l(12,n).at n=15A018213
• One half of binomial coefficients binomial(2*n-8,9).at n=7A053133
• Largest gcd of two distinct numbers on row n of Pascal's triangle.at n=22A092394
• 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=24A101461
• 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=43A119245
• Number of ballot sequences of length n having 10 largest parts.at n=14A244107
• a(n) = C(5*n-1,2*n)/3, n > 0, a(0) = 1.at n=5A259550
• Number of 9-element subsets of [n+9] having an even sum.at n=15A282077
• Number of n-element subsets of [n+9] having an even sum.at n=15A282085
• Maximum over 0 <= k <= n/2 of the number of permutations of two symbols occurring k and n-2*k times, respectively, where a permutation and its reversal are counted only once.at n=33A362260
• Arises from enumeration of a certain class of partial zig-zag knight's paths on the square grid.at n=23A368380