-135135

Appears in sequences

• Triangle of coefficients in expansion of (x-1)*(x-3)*(x-5)*...*(x-(2*n-1)).at n=28A039757
• Triangle of B-analogs of Stirling numbers of first kind.at n=35A039758
• 2-adic factorial function.at n=13A055634
• Row 4 of array in A288580.at n=13A092398
• Coefficients of polynomial in x multiplying sinh(x) in the modified spherical Bessel function of the first kind i_n(x).at n=31A094674
• Triangle, read by rows, where T(0,0) = 1, T(n,k) = (-1)^n*(2n+1)*T(n-1,k) - T(n-1,k-1).at n=21A108083
• T(n, k) = [x^k] (-1)^n*Sum_{k=0..n} E2(n, n-k)*(1+x)^(n-k) where E2(n, k) are the second-order Eulerian numbers. Triangle read by rows, T(n, k) for n >= 1 and 0 <= k <= n.at n=21A111999
• Triangle T, read by rows, such that the matrix square, T^2, forms a simple 2-diagonal triangle where [T^2](n,n) = 1 and [T^2](n+1,n) = 2*(n+1) for n>=0.at n=36A113278
• Exponential Riordan array (1, sqrt(1+2x)-1).at n=37A122850
• a(n) = n!*b(n) where b(n) = (n-4)*b(n-2)/(n*(n-1)) and b(0) = b(1) = 1.at n=17A123022
• Triangle read by rows: T(n,k) = (-1)^k * n! * 2^(n-2*k) * binomial(n,k) * binomial(2*k,k) (0<=k<=n).at n=35A123516
• Q(1,n), where Q(m,k) is defined in A127080 and A127137.at n=14A127138
• Lower triangular array T(n,k) generator for group of arrays related to A001147 and A102625.at n=36A132382
• Coefficients of a partition transform for Lagrange inversion of -log(1 - u(.)*t), complementary to A134685 for an e.g.f.at n=30A133932
• Irregular triangle read by rows: coefficients C(j,k) of a partition transform for direct Lagrange inversion.at n=30A134685
• Coefficients of polynomials based on the generalized factorial at k=2 (A001147): b(n)=b(n-1+k; a(n)=b(n)*a(n-1); p(x,n)=If[n == 0, 1, a(n - 1)*(x - a(n - 1))*Product[x + 1/b(i), {i, 1, n - 1}]].at n=28A144457
• Production array of A122848, read by row.at n=45A154557
• A triangle related to the a(n) formulas of the rows of the ED3 array A167572.at n=35A167580
• Coefficient array of orthogonal polynomials whose moment sequence is the double factorial numbers A001147.at n=28A176231
• Inversion of e.g.f. formal power series. Partition array in Abramowitz-Stegun (A-St) order.at n=43A176740