-2730

Appears in sequences

• Expansion of Product_{k>=1} (1 - x^k)^13.at n=24A010820
• Expansion of (1-x)/(1+x+2*x^2+2*x^3).at n=26A078052
• A generalized Jacobsthal sequence.at n=12A083944
• Bi-diagonal inverse of (3n)!/(3k)!.at n=19A119832
• A triangle of coefficients of A053122 type binomials {x,y},{y,z} and {z,x}, made using A_n Cartan type matrix characteristic polynomials: an(x,n) = CharacteristicPolynomial(M(A_n,n)); f(x,y,n) = Sum[Coefficients(an[x,n)*x^i*y^(n-i),{i,0,n}]; p(x,y,z,n) = f(x,y,n) + f(y,z,n) + f(z,x,n).at n=50A139584
• First differences of A133730.at n=27A141416
• G.f.: (1+x)/(1+x-2*x^2).at n=13A151575
• Triangle read by rows. G(n, k) an additive decomposition of 2^n*G(n), G(n) the Genocchi numbers.at n=25A154344
• Triangle read by rows, denominators of Jakob Bernoulli's "Sums of Powers" triangle.at n=60A159688
• Irregular triangle read by rows: first row is 1, n-th row (n > 0) consists of the coefficients in the expansion of H(x;n)*(x + 1)^(n - 1)/2^floor(n/2), where H(x;n) is the Hermite polynomial of order n.at n=46A171531
• E.g.f. satisfies A(x) = x * exp( -A(x) + x * exp(-A(x)) ).at n=6A360442