372096

Appears in sequences

• Coordination sequence for diamond structure D^+_6. (Edges defined by l_1 norm = 1.)at n=17A035879
• G.f.: 1/((1-x^2)^3*(1-x)^4).at n=31A060099
• a(n) = F(4)*F(n)*F(n+1) + F(5)*F(n+1)^2 if n odd, a(n) = F(4)*F(n)*F(n+1) + F(5)*F(n+1)^2 - F(5) if n even, where F(n) is the n-th Fibonacci number (A000045).at n=12A080144
• If X_1,...,X_n is a partition of a 2n-set X into 2-blocks then a(n) is equal to the number of 5-subsets of X containing none of X_i, (i=1,...n).at n=14A130811
• a(n) = (n + 4)*(n + 3)*(n + 2)*(n + 1)*n / 5 = 24*A000389(n+4).at n=16A158874
• Number of ways to occupy n unlabeled phone booths in a circle one by one, each time picking a phone booth adjacent to the smallest number of previously occupied phone booths.at n=11A276657
• a(n) = F(n)^2 + 4*(-1)^n = F(n+3)*F(n-3), where F = A000045.at n=15A292612
• Triangle read by rows: T(n,k) = number of colored weighted Motzkin paths ending at (n,k).at n=49A293172
• Denominators of r(n) := Sum_{k=0..n-1} 1/Product_{j=0..4} (k + j + 1), for n >= 0, with r(0) = 0.at n=15A300299