24344320

Appears in sequences

• Triple factorial numbers (3*n-2)!!! with leading 1 added.at n=8A007559
• Triple factorial numbers a(n) = n!!!, defined by a(n) = n*a(n-3), a(0) = a(1) = 1, a(2) = 2. Sometimes written n!3.at n=22A007661
• Triangle read by rows, the Bell transform of the triple factorial numbers A007559(n+1) without column 0.at n=28A035469
• a(n) = (n+1)*a(n-3), a(0)=a(1)=a(2)=1 for n>1.at n=21A081406
• A certain partition array in Abramowitz-Stegun (A-St) order.at n=44A134149
• A certain partition array in Abramowitz-Stegun order (A-St order), called M_3(4)/M_3.at n=44A134150
• Triangle of numbers obtained from the partition array A134150.at n=28A134151
• Triple factorial array, read by antidiagonals, where row n+1 is generated from row n by first removing terms in row n at positions {[m*(m+5)/6], m >= 0} and then taking partial sums, starting with all 1's in row 0.at n=36A136212
• Triangle U, read by rows, where U(n,k) = Product_{j=k..n-1} (3*j+1) for n > k with U(n,n) = 1.at n=36A136214
• Triangle U, read by rows, where U(n,k) = Product_{j=k..n-1} (3*j+1) for n > k with U(n,n) = 1.at n=37A136214
• Triangle T, read by rows, where T(n,k) = A007559(n-k)*C(n,k) where A007559 equals the triple factorials in column 0.at n=36A136215
• Square array T(n,m) = Product_{i=0..m} (1+n*i) read by antidiagonals.at n=58A142589
• Triangle, read by rows, T(n,k) = k^(n+1) * Pochhammer(1/k, n+1).at n=23A153274
• A partition product of Stirling_2 type [parameter k = -4] with biggest-part statistic (triangle read by rows).at n=35A157398
• Triple factorials n!!!: a(n) = n*a(n-3).at n=22A161474
• Triangle read by rows, a(n,k), n>=k>=1, which represent the s=3, h=1 case of a two-parameter generalization of Stirling numbers arising in conjunction with normal ordering.at n=36A203412
• Triangle S(n,k) by rows: coefficients of 3^((n-1)/2)*(x^(1/3)*d/dx)^n when n=1,3,5,...at n=28A223525
• Triangle S(n,k) by rows: coefficients of 3^(n/2)*(x^(2/3)*d/dx)^n when n=0,2,4,6,...at n=36A223526
• Numerator of the harmonic mean of the first n octagonal numbers.at n=7A250400
• Triangle read by rows: T(n, k) is the Sheffer triangle ((1 - 3*x)^(-1/3), (-1/3)*log(1 - 3*x)). A generalized Stirling1 triangle.at n=36A286718