-1440

Appears in sequences

• Coefficients in expansion of Eisenstein series E_2 (also called E_1 or G_2).at n=38A006352
• Coefficients in expansion of Eisenstein series E_2 (also called E_1 or G_2).at n=24A006352
• Expansion of e.g.f.: exp(arctan(x)-arctanh(x))=1-4/3!*x^3+160/6!*x^6-1440/7!*x^7...at n=7A013462
• Expansion of e.g.f. sin(arctan(x) - arctanh(x)) (odd powers only).at n=3A013463
• arctan(arctan(x)-arctanh(x))=-4/3!*x^3-1440/7!*x^7+35840/9!*x^9...at n=3A013464
• Coefficient of x^(30-n) in the minimal polynomial for 2^(1/6)+3^(1/5).at n=29A035616
• Low-temperature specific heat expansion for hexagonal lattice (Potts model, q=3).at n=6A057384
• Signed triangle of D'Arcais numbers (A008298) : coefficients of r in the polynomials generated by the series coefficients of z^n in Product[(1-z^k)^r, {k,1,Inf}]*(n!).at n=22A078521
• Sum_{k=1..n-1} J(2*n,k)*k^2, where J(i,j) is the Jacobi symbol.at n=29A097543
• Sum_{k=1..2n-1} J(4*n,k)*k^2, where J(i,j) is the Jacobi symbol.at n=14A097544
• Triangle T(n, k) = k^4 - n^4 + 2*k*n*(1 - k^2*n^2), read by rows.at n=9A123963
• Expansion of 1 - (1/3) * b(q) * b(q^2) * c(q)^2 / c(q^2) in powers of q where b(), c() are cubic AGM functions.at n=33A132001
• Coefficients of Laguerre recursive polynomials with an (n+2)!/2 multiplication factor and alpha=a0 =0 from Hochstadt: P(x, n) = (2*n + a0 + 1 - x)*P(x, n - 1)/(n + 1) - n*P(x, n - 2)/(n + 1);.at n=11A136533
• Triangular sequence from coefficients of the umbral calculus expansion of a Golden -Mean Bernoulli function(A001898): p(x,t)=t*phi^(x*t)/(phi^t - 1), where the golden ratio replaces "e".at n=13A137524
• 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=21A137778
• 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=27A137778
• 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=15A137943
• Triangular sequence of coefficients of characteristic polynomials rational matrices of a type: M(3)= {{0, -3/2, 0}, {-3/2, 0, -3/2}, {0, -3/2, 0}}.at n=25A137949
• 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=22A138024
• Expansion of (eta(q)^2 * eta(q^4)^4 / eta(q^2)^3)^2 in powers of q.at n=37A138501