5221125

Appears in sequences

• Quadruple factorial numbers n!!!!: a(n) = n*a(n-4).at n=25A007662
• Quartic (or 4-fold) factorial numbers: a(n) = Product_{k = 0..n-1} (4*k + 1).at n=7A007696
• Triangle read by rows, the Bell transform of the quartic factorial numbers A007696(n+1) without column 0.at n=21A049029
• 4th-order non-linear ("factorial") recursion: a(0)=a(1)=a(2)=a(3)=1, a(n) = (n+1)*a(n-4).at n=24A081407
• A certain partition array in Abramowitz-Stegun order (A-St order), called M_3(5).at n=29A134273
• A certain partition array in Abramowitz-Stegun order (A-St order), called M_3(5)/M_3.at n=29A134274
• A certain partition array in Abramowitz-Stegun order (A-St order), called M_3(5)/M_3.at n=45A134274
• Triangle of numbers obtained from the partition array A134274.at n=21A134275
• Square array T(n,m) = Product_{i=0..m} (1+n*i) read by antidiagonals.at n=59A142589
• Triangle, read by rows, T(n,k) = k^(n+1) * Pochhammer(1/k, n+1).at n=18A153274
• A partition product of Stirling_2 type [parameter k = -5] with biggest-part statistic (triangle read by rows).at n=27A157397
• Triangle S(n,k) by rows: coefficients of 4^((n-1)/2)*(x^(1/4)*d/dx)^n when n=1,3,5,...at n=21A223527
• Triangle S(n,k) by rows: coefficients of 4^(n/2)*(x^(3/4)*d/dx)^n when n=0,2,4,6,...at n=28A223528
• a(n) = (2*n - 1) * a(n-2) for n>1, a(0) = a(1) = 1.at n=13A235136
• Triangle read by rows: The Bell transform of the quartic factorial numbers (A007696).at n=37A265606
• Triangle read by rows: T(n, k) is the Sheffer triangle ((1 - 4*x)^(-1/4), (-1/4)*log(1 - 4*x)). A generalized Stirling1 triangle.at n=28A290319
• Numbers k such that k * gcd(sigma(k), A003961(k)) is equal to the odd part of {sigma(k) * gcd(k, A003961(k))}, where A003961 shifts the prime factorization one step towards larger primes, and sigma is the sum of divisors function.at n=11A349169
• Number of different ways to partition the set of vertices of a convex (n+11)-gon into 4 nonintersecting polygons.at n=25A350286
• A(n, k) = 4^n*Pochhammer(k/4, n). Square array read by ascending antidiagonals.at n=37A370915
• Triangle read by rows: T(n, k) = 4^n*Sum_{j=0..k} (-1)^(k - j)*binomial(k, j)* Pochhammer(j/4, n).at n=29A371026