-2700

Appears in sequences

• Expansion of e.g.f.: sech(arcsinh(x)+log(x+1))=1-4/2!*x^2+6/3!*x^3+69/4!*x^4-330/5!*x^5...at n=6A013080
• Expansion of e.g.f. exp(arctan(x) - log(x+1)).at n=7A013459
• Taylor series of a recursively defined function.at n=16A109087
• Row sums of number triangle related to the Jacobsthal numbers.at n=37A110325
• Coefficient triangle of numerator polynomials appearing in certain column o.g.f.s related to the H-atom spectrum.at n=11A120078
• Coefficient triangle of numerator polynomials appearing in certain column o.g.f.s related to the H-atom spectrum.at n=16A120078
• Triangle T(n,m,p,q) = (p^(n-k)*q^k + p^k*q^(n-k))*(StirlingS1(n, k) + StirlingS1(n, n-k)) with p=2 and q=3, read by rows.at n=17A154914
• Triangle T(n,m,p,q) = (p^(n-k)*q^k + p^k*q^(n-k))*(StirlingS1(n, k) + StirlingS1(n, n-k)) with p=2 and q=3, read by rows.at n=18A154914
• Triangle in which row n has the n*(n+1)/2 elements of the lower triangular part of the inverse of the n-th order Hilbert matrix.at n=14A189765
• Discriminant of the pure cubic field Q(m^(1/3)), where m = A004709(n) is the n-th cubefree number.at n=17A242867
• G.f. A(x,y) satisfies: A(x,y) = x*y + 1/A(x,x*y), with A(0,y) = 1.at n=207A275760
• Expansion of r(q^3) / r(q)^3 in powers of q where r() is the Rogers-Ramanujan continued fraction.at n=29A285583
• Irregular triangle read by rows of normalized Girard-Waring formula (cf. A210258), for m=6 data values.at n=12A288211
• Expansion of (eta(q)*eta(q^3))/eta(q^2)^2 in powers of q.at n=35A293306
• Expansion of Product_{k>=1} 1/(1 + x^k)^(k-1).at n=37A319109
• T(n,k) = (-1)^n*(binomial(2*k,k)/(k+1))*Sum_{j=0..n} (-1)^j*binomial(k,j)*j^n. Triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= n.at n=24A335748
• Irregular triangle read by rows: T(n,k) = A344031(n,k)/2, n >= 1, 0 <= k <= 2*n-2.at n=22A344059
• Coefficients of the partition polynomials that are binomial convolutions of the partition polynomials of A133314, the refined Euler characteristic polynomials of the permutahedra and coefficient polynomials of reciprocals of Taylor series or e.g.f.s. Irregular triangle read by rows with length given by A000041.at n=21A356146
• Triangle read by rows. T(n, k) = Sum_{j=0..n-k} binomial(-n, j) * A268437(n - k, j).at n=24A357339