325584

Appears in sequences

• Eighth column of quadrinomial coefficients.at n=15A001919
• Triangle read by rows, the inverse Bell transform of n!*binomial(4,n) (without column 0).at n=41A011801
• Convolution of Catalan numbers A000108 with Catalan numbers but C(0)=1 replaced by 3.at n=11A038629
• a(n) = T(7,n), array T given by A048505.at n=11A048512
• Partial sums of A051878.at n=15A050404
• Number of 3-element ordered antichains on an unlabeled n-element set; T_1-hypergraphs with 3 labeled nodes and n hyperedges.at n=18A056005
• Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(1,1), d=(1,-2) and have k peaks (i.e., ud's).at n=50A108767
• a(n) = n*(n^2-1)*(3*n+2).at n=19A115056
• Triangle read by rows: T(n,k) is the number of ternary trees with n edges and having k middle edges (n >= 0, k >= 0).at n=49A120986
• Triangle T(n, k) = (binomial(n,2))! / (k! * abs(k+1 - binomial(n,2))!), read by rows.at n=26A123146
• Exponential Riordan array (log(1/(1-x)), x*A005043(x)).at n=49A185815
• a(n) = 6*binomial(n+1, 6).at n=15A253946
• Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 1,0 0,-1 1,2 or -1,1.at n=15A264578
• Constant term in the expansion of (Sum_{k=0..n} k*(x^k + x^(-k)))^3.at n=17A303916
• a(n) = 1/(Integral_{x=0..1} (x^3 - x^4)^n dx).at n=5A306290
• Triangle read by rows: T(n,k) = binomial(n+1,k+1) * binomial(4*n-3*k+1,k) / (n+1), 0<=k<=n.at n=51A391047