-5544

Appears in sequences

• Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x) - x^2/(1-x)^2 + xy*f(x,y)^2.at n=60A086610
• Triangle of coefficients, read by rows, where T(n,k) is the coefficient of x^n*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x) - x^2/(1-x)^3 + xy*f(x,y)^3.at n=39A086632
• Triangle of coefficients of generalized Bernoulli polynomials associated with a Dirichlet character modulus 8.at n=33A151751
• Triangle read by rows, coefficients of the Legendre polynomials P(n, x) times 2^n: T(n, k) = 2^n * [x^k] P(n, x), n >= 0, 0 <= k <= n.at n=33A157077
• Triangle T(n, k) = n! * binomial(n, k)*( psi(n-k+1) - psi(k+1) ), read by rows.at n=26A157521
• A symmetrical triangle of polynomial coefficients:p(x,n)=Sum[(1 + Binomial[n, m]*x)^m*(1 - Binomial[n, m]*x)^(n - m) + (x + Binomial[n, m])^m*(x - Binomial[n, m])^(n - m), {m, 0, n}].at n=30A176389
• A symmetrical triangle of polynomial coefficients:p(x,n)=Sum[(1 + Binomial[n, m]*x)^m*(1 - Binomial[n, m]*x)^(n - m) + (x + Binomial[n, m])^m*(x - Binomial[n, m])^(n - m), {m, 0, n}].at n=33A176389
• Triangle T(n,k): the coefficient [x^(n-k)] of the polynomial 2^n*n!*L(n,3/2,x), where L is the generalized Laguerre Polynomial in the Abramowitz-Stegun normalization.at n=13A229789
• Coefficients of mock modular form H_1^(2) of type 2A.at n=21A256058
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 43", based on the 5-celled von Neumann neighborhood.at n=43A269879
• Irregular triangle read by rows: T(n,m) = coefficients in power/Fourier series expansion of an arbitrary anharmonic oscillator's exact differential precession.at n=36A276817
• Triangle read by rows in which row n gives coefficients of polynomial f_n(x)/(n+1) 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=26A303700
• Expansion of (1 + 2*x)/(1 + 4*x^2)^(3/2).at n=11A331552