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.
A026026
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.
Terms
- a(0) =1a(1) =3a(2) =10a(3) =35a(4) =125a(5) =451a(6) =1638a(7) =5980a(8) =21930a(9) =80750a(10) =298452a(11) =1106921a(12) =4118725a(13) =15371475a(14) =57528750a(15) =215867880a(16) =811985790a(17) =3061229850a(18) =11565545100a(19) =43782423750a(20) =166051490514a(21) =630877833102
External references
- oeis: A026026