-80640

Appears in sequences

• Expansion of tanh(log(1+1/x)).at n=7A009769
• Triangle of nonzero coefficients of Hermite polynomials H_n(x) in increasing powers of x.at n=26A059343
• Triangle read by rows. T(n, k) are the coefficients of the Hermite polynomial of order n, for 0 <= k <= n.at n=48A060821
• Triangle of trinomial logarithmic coefficients: A027907(n,k) = Sum_{i=0..k} T(k,i)*n^i/k!.at n=46A136590
• Column 1 of triangle A136590.at n=8A136591
• Even terms in the Taylor series for the Fisher Information of a Rice-distributed variable (at amplitude 0, with sigma==1).at n=4A137274
• A triangular sequence from coefficients of an expansion of the Poisson's kernel: p(t,r)=(1-r^2)/(1-2*r*Cos(t)+r^2): r->t;Cos(t)->x.at n=36A137511
• A triangular sequence from an expansion of coefficients of the function: p(x,t)=Exp(x*g*(t))*(1-f(t)^2);f(t)=1/Sqrt[1 - 2*t^2 + t^4];g(t)=t. (Based on the Weierstrass functions of Jenkins-Serrin minimal surface.)at n=25A137523
• Coefficients of the polynomial giving the n-th diagonal of A137743 * n!, read as an upper right triangle.at n=21A137738
• Triangular sequence from coefficients of an expansion of a Rankine-Hugoniot relation function for density in terms of thermodynamic gamma as t and pressure ratio as x: p(x,t)=((t + 1)/(t - 1) + x)/(1 + (t + 1)*x/(t - 1)).at n=36A137778
• Triangle of coefficients associate with the expansion of the K_3 graph matric characteristic polynomial as a Sheffer sequence: M = {{0, 1, 1}, {1, 0, 1}, {1, 1, 0}} f(t)=-t^3+3t+2 p(x,t)=Exp[x,t)/(2*t^3+3*t^2-1)=exp(x*t)(t^3*f(1/t)).at n=39A137943
• A triangular sequence of coefficients of an expansion of a Mach wave as a traveling wave in a medium: (vt')^2 = vp*vg = c^2 - (gamma-1)/(gamma+1)*vt^2; Substituting: vt -> exp(t*x); gamma->t; c->1; p(x,t) = 1 - exp(2*x*t)*(t - 1)/(1 + t).at n=37A138024
• A triangle related to the GF(z) formulas of the rows of the ED2 array A167560.at n=34A167568
• Triangle read by rows. Polynomials based on sums of Moebius transforms.at n=44A177977
• Triangle T(n, k) = A060821(n,k) + A060821(n,n-k), read by rows.at n=48A181089
• Triangle T(n, k) = A060821(n,k) + A060821(n,n-k), read by rows.at n=51A181089
• Triangle read by rows: T(n,k) = n!*S(n,k), where S(n,k) is the matrix inverse of the triangle zeta(k-n,1) - zeta(k-n,k+1), n>=1, k>=1.at n=42A214435
• Coefficients of the columns generating polynomials of the JacobiTheta3 array A319574 multiplied by n!, triangle read by rows, T(n,k) for 0 <= k <= n.at n=32A319934
• Coefficients of the columns generating polynomials of the JacobiTheta3 array A319574 multiplied by n!, triangle read by rows, T(n,k) for 0 <= k <= n.at n=37A319934
• The multiplicative inverse of the coefficients of the factorially normalized Bernoulli polynomials (provided they do not vanish, otherwise by convention 0).at n=53A358111