-7560

Appears in sequences

• Expansion of e.g.f. tan(log(x+1) - tan(x)).at n=8A013236
• Expansion of e.g.f. arctanh(log(x+1) - tan(x)).at n=8A013242
• Triangle of nonzero coefficients of the Airy zeta functions expressed as polynomials of X = 3^(5/6)Gamma(2/3)^2/(2Pi).at n=22A096631
• T(n, k) is the coefficient of z^k in the numerator of the polynomial part of z^n*exp(-n*s), where s = hypergeom([1, 1, 3/2], [2, 5/2], 1/z^2)/(6z^2); related to Chebyshev's quadrature. Triangle read by rows, T(n,k) for 0 <= k <= n.at n=33A101270
• Triangle T, read by rows, equal to the matrix inverse of the triangle defined by [T^-1](n,k) = A075263(n,k)/n!, for n>=k>=0.at n=26A106338
• Triangle where T(n,k) = -n!*[x^k] ( x/log(1-x-x^2) )^(n+1), for n>=k>=0, read by rows.at n=22A118791
• Triangle: signed version of A055134.at n=32A137370
• Triangle of the coefficient [x^k] of the polynomial 2^n*s_n(x) generated by exp(x*(1 - sqrt(1+t^2))/t) = Sum_{n>=0} s_n(x)*t^k/k! in row n, column k.at n=31A137378
• 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=31A137943
• A triangular sequence of coefficients based on the expansion of a Morse potential type function: p(x,t) = exp(x*t)*(exp(-2*t) - 2*exp(-t)).at n=60A138106
• A triangle sequence derived from setting an Euler numbers A122045 generalization equal to the Eulerian numbers A008292 to get a generating function expansion: p(x,t) = ((-1 + exp(x)) (-1 + x)/(-1 + exp(t*x) + t - exp(t)* x)).at n=29A178232
• Expansion of a(q) * b(q)^2 in powers of q where a(), b() are cubic AGM theta functions.at n=29A181976
• 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=41A189765
• Triangle T(n,m) = coefficient of x^n in expansion of x^m*(x+1)^(m*x^2) = sum(n>=m, T(n,m) x^n*m!/n!).at n=40A202184
• a(n+1) = 3*A136016*a(n).at n=2A202948
• Triangle read by rows: coefficients of the characteristic polynomial of the n-th submatrix of A191898.at n=48A293147
• Expansion of e.g.f. Product_{k>0} (1+k*x^k)^(-1/k).at n=7A294465
• Triangle read by rows in which row n gives coefficients of polynomial f_n(x) of degree less than n that satisfies Integral_{x=0..1} g(t - x) * f_n(x) dx = g(t) for any polynomial g(x) of degree less than n.at n=18A303699
• Irregular triangle read by rows: row n gives numerators of coefficients of polynomials arising from Chebyshev quadrature.at n=17A324123
• Triangle read by rows: T(n,k) = (-1)^(n+k)*(n+k+1)*binomial(n,k)*binomial(n+k,k) for n >= k >= 0.at n=30A331431