463991880

Appears in sequences

• a(n) = 5*binomial(2n, n-2)/(n+3).at n=15A000344
• a(n) = 7*binomial(2n,n-3)/(n+4).at n=17A000588
• Number of nonnegative integer 4 X 4 matrices with sum of elements equal to n, up to rotational symmetry.at n=19A054773
• 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=34A101461
• a(n) = C(5*n-1,2*n)/3, n > 0, a(0) = 1.at n=7A259550
• a(n) is the common difference of the increasing arithmetic progression C(m,k), C(m,k+1), C(m,k+2) when C(m,k) = A349736(n).at n=3A349737
• Arises from enumeration of a certain class of partial zig-zag knight's paths on the square grid.at n=33A368380