140140

Appears in sequences

• a(n) = (5*n + 4)*binomial(n+7,7)/4.at n=9A056125
• Triangle read by rows: T(n,k) = (2 * (binomial(n,k)) * (n + 2 * k + 3)!)/((k + 1)! * (k + 2)! * (n + 3)!).at n=31A087727
• Structured disdyakis dodecahedral numbers (vertex structure 9).at n=27A100161
• Consider n x n chessboard. This sequence gives number of chess knight paths from left bottom corner of the board to the right top corner with minimal possible path length (shortest paths).at n=23A120399
• Triangle T(n, k) = ((n-k)/6)*binomial(n-1, k-1)*binomial(2*n, 2*k) with T(n, 0) = T(n, n) = 1, read by rows.at n=39A174119
• Triangle T(n, k) = ((n-k)/6)*binomial(n-1, k-1)*binomial(2*n, 2*k) with T(n, 0) = T(n, n) = 1, read by rows.at n=41A174119
• Triangle T(n,k) = binomial(n,k)*binomial(n+k+1,n+1) read by rows, 0 <= k <= n.at n=42A178301
• Product of squarefree numbers between n and 2*n (inclusive).at n=6A179214
• Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y<=3z.at n=29A212517
• Number of standard Young tableaux of n cells and height <= 10.at n=12A212916
• 4n concatenated with itself.at n=34A248365
• a(n) gives the denominators for A250031(n) as well as for A250032(n).at n=13A250033
• Triangle where g.f. C = C(x,m) and related series S = S(x,m) and D = D(x,m) satisfy S = x*C*D, C = 1 + x*S*D, and D = 1 + m*x*S*C, as read by rows of coefficients T(n,k) of x^(2*n)*m^k in C(x,m) for n>=0, k=0..n.at n=87A278881
• Triangle where g.f. D = D(x,m) and related series S = S(x,m) and C = C(x,m) satisfy S = x*C*D, C = 1 + x*S*D, and D = 1 + m*x*S*C, as read by rows of coefficients T(n,k) of x^(2*n)*m^k in C(x,m) for n>=1, k=0..n.at n=81A278882
• Number of Dyck paths of semilength n such that each positive level has exactly nine peaks.at n=23A288325
• Sum of the cubes of the parts in the partitions of n into two distinct parts.at n=27A294287
• a(n) = Product_{d|n, d>1} prime(1+(d mod 6)).at n=29A320116
• a(n) = Product_{d|n, d>1} prime(1+(d mod 6)).at n=65A320116
• Triangle read by rows: T(n, k) = binomial(n - 1, k - 1)*binomial(n + k, k).at n=50A386789