-1575

Appears in sequences

• Expansion of e.g.f. arctanh(cosh(x) * log(x+1)).at n=6A012761
• Expansion of e.g.f.: exp(arcsinh(x)+log(x+1))=1+2*x+3/2!*x^2+3/3!*x^3-3/4!*x^4-15/5!*x^5...at n=8A013069
• Denominators q[ n ] of convergents to Stern's non-simple continued fraction for Pi/2.at n=6A046126
• Coefficient array for certain polynomials N(3; k,x) (rising powers of x).at n=17A062746
• Triangle of coefficients of polynomials in Sum_{k=0..n} binomial(n,k) * k^r.at n=32A102573
• The third self-composition of A120009; g.f.: A(x) = G(G(G(x))), where G(x) = g.f. of A120009.at n=6A120012
• Square table, read by antidiagonals, of coefficients of x^k in the n-th self-composition of the g.f. of A120009, so that: T(n,k) = [x^k] { (x-x^2) o x/(1-n*x) o (1-sqrt(1-4*x))/2 } for n>=1, k>=1.at n=42A120013
• Numerators of bivariate Taylor expansion of the incomplete elliptic integral of the second kind.at n=14A120362
• Matrix inverse of triangle A122176, where A122176(n,k) = C( k*(k+1)/2 + n-k + 1, n-k) for n>=k>=0.at n=22A121436
• Triangle read by rows: A007318^(-1) * A128541.at n=62A128585
• Irregular triangle read by rows: coefficients C(j,k) of a partition transform for direct Lagrange inversion.at n=38A134685
• Triangular array read by rows: e.g.f. sqrt(1-z^2)*exp(x*z)/(1+z).at n=28A138022
• Numerator of Bernoulli(n, -7/11).at n=3A159332
• Inversion of e.g.f. formal power series. Partition array in Abramowitz-Stegun (A-St) order.at n=35A176740
• Expansion of e.g.f.: sin(arctan(x)).at n=7A177698
• A triangle sequence derived from setting an Euler numbers A122045 generalization equal to the MacMahon numbers A060187 to get a generating function expansion: p(x,t) = (exp(t)* (1 - exp(x))* x)/(exp(2 t + t x) + exp(t)* x - exp(t*x)* x).at n=27A178234
• Triangle read by rows: coefficients of polynomials in Sum_{k = 0..t} k^n * binomial(t,k).at n=40A209849
• Triangle read by rows: coefficients of polynomials in Sum_{k = 0..t} k^n * binomial(t,k).at n=50A209849
• Coefficients of (x^(1/6)*d/dx)^n for positive integer n.at n=24A223536
• Triangle read by rows, T(n,k) matrix inverse of A256550, for n>=0 and 0<=k<=n.at n=31A256551