811985790
domain: N
Appears in sequences
- Fourth convolution of Catalan numbers: a(n) = 4*binomial(2*n+3,n)/(n+4).at n=16A002057
- a(n) = number of (s(0), s(1), ..., s(2*n-1)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n, s(0) = 3, s(2*n-1) = 4. Also a(n) = T(2*n-1,n-1), where T is defined in A026022.at n=16A026026
- T(n,[ n/2 ]), where T is defined in A026022.at n=33A026034
- a(n) = Sum_{k=0..floor(n/2)} T(n,k) * T(n,k+1), with T given by A026009.at n=16A027288
- Largest gcd of two distinct numbers on row n of Pascal's triangle.at n=33A092394
- An inverse Chebyshev transform of x^3.at n=17A099376
- Arises from enumeration of a certain class of partial zig-zag knight's paths on the square grid.at n=34A368378