-6048

Appears in sequences

• Ramanujan's tau function (or Ramanujan numbers, or tau numbers).at n=5A000594
• E.g.f. sinh(log(1+x)^2).at n=7A009585
• Expansion of e.g.f. arcsin(log(x+1)^2).at n=7A012267
• Expansion of e.g.f. log(cosh(x) + tanh(x)).at n=8A013191
• Expansion of e.g.f. log(sec(x) + sin(x)).at n=8A013194
• A sequence related to Ramanujan's tau function.at n=20A055978
• Array of coefficients of P(n,x) = det (M(n,x)) where M(n,x) is the n X n matrix m(i,j)=x if i>j m(i,j)=1-x if i<=j.at n=60A079628
• Triangle of coefficients of Chebyshev polynomials T_{2n+1} (x).at n=30A084930
• The even bisection of A000594.at n=2A099060
• Triangle read by rows: T satisfies the matrix products: C*T*C = T^-1 and T*C*T = C^-1, where C is Pascal's triangle.at n=60A118800
• Subtraction of polynomial coefficients of MacMahon A060187 from third derivative of Pascal's triangle A155863: p(x,n)=(If[n == 0, 1, x^n + 1 + x*D[( x + 1)^(n + 1), {x, 3}]] - 2^n*(1 - x)^(1 + n)*LerchPhi[x, -n, 1/2])/x.at n=20A155871
• Subtraction of polynomial coefficients of MacMahon A060187 from third derivative of Pascal's triangle A155863: p(x,n)=(If[n == 0, 1, x^n + 1 + x*D[( x + 1)^(n + 1), {x, 3}]] - 2^n*(1 - x)^(1 + n)*LerchPhi[x, -n, 1/2])/x.at n=26A155871
• Triangle read by rows, based on the two-variable g.f. exp(x*t)*(x*(1 - 2*exp(x)) - 2*exp(x))/(1 - exp(t)) (the second of two parts).at n=42A176295
• Triangle read by rows, based on the two-variable g.f. exp(x*t)*(x*(1 - 2*exp(x)) - 2*exp(x))/(1 - exp(t)) (the second of two parts).at n=43A176295
• Dirichlet inverse of Ramanujan's L-series (A000594).at n=5A181104
• Triangle T(n,m) = coefficient of x^n (x^2*cosech(x))^m=sum(n>=m, T(n,m)x^n*m!^2/n!^2).at n=42A199568
• Coefficient of y^0 in G(x,y)^3 where G(x,y) = Sum_{n=-oo..+oo} (1-x^n)^n * x^n * y^n.at n=73A263188
• Coefficients in expansion of (E_6^2/E_4^3)^(1/24).at n=2A289368
• Triangle read by rows: T(n,k) = T(n-k,k-1) with T(0,0) = 1 and T(n,0) = -1/n * Sum_{k=1..A003056(n)} (-1)^k * (2*k+1) * (n+1-A060544(k+1)) * T(n,k).at n=11A292781
• Triangle read by rows: T(n,k) = T(n-k,k-1) with T(0,0) = 1 and T(n,0) = -1/n * Sum_{k=1..A003056(n)} (-1)^k * (2*k+1) * (n+1-A060544(k+1)) * T(n,k).at n=15A292781