174174002

Appears in sequences

• a(n) = Sum_{k=0..n} binomial(6*n,6*k).at n=5A070967
• a(n) = Sum_{2*i+3*j=n, 0<=i<=n, 0<=j<=n} n!/( (2*i)!*(3*j)! ).at n=30A094715
• Constant term of the reduction of the polynomial p(n,x)=(1/2)((x+2)^n+(x-2)^n) by x^2->x+2.at n=15A192355
• Number of (n+1) X (1+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction.at n=10A250870
• Number of achiral color patterns (set partitions) for a row or loop of length n using exactly 4 colors (sets).at n=29A304974
• a(n) = Sum_{k=0..floor(n/6)} binomial(n,6*k).at n=30A306847
• Cogrowth sequence of the 12-element group C6 X C2 = <S,T | S^6, T^2, [S,T]>.at n=15A377627
• Cogrowth sequence for the 18-element group C6 X C3 = <S,T | S^6, T^3, [S,T]>.at n=10A378031
• a(n) = Sum_{k=0..n} binomial(5*n,6*k).at n=6A387850