-1386

Appears in sequences

• Coefficient of x^(-n) in expansion of continued fraction 0, x, x^2, x^3, x^4, ... .at n=46A049346
• Triangle read by rows: coefficients of Genocchi polynomials G(n,x); n times the Euler polynomials.at n=60A098434
• G.f.: (1+x^2)^2*(x^4-6*x^3+1)/(x^2-1)^4.at n=15A115046
• Triangle read by rows: T(0,0)=1; T(n,k) is the coefficient of x^k in the polynomial (-1)^n*p(n,x), where p(n,x) is the characteristic polynomial of the n X n tridiagonal matrix with 3's on the main diagonal and -1's on the super- and subdiagonal (n >= 1; 0 <= k <= n).at n=41A123965
• Duplicate of A123965.at n=41A124025
• Coefficients of polynomials of the characteristic polynomials of two matrix systems subtracted: M(n)=Table[Table[If[m == k == 1, n, If[m == k, (-1)^n, 0]], {m, 1, n}], {k, 1, n}];M1(n)=Table[Table[ If[m == k + 1, -1, If[k == n && m == 1, n, If[m == k == n, -n, 0]]], {m, 1, n}], {k, 1, n}].at n=40A168578
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A185957; by antidiagonals.at n=25A202678
• Triangle of coefficients of Chebyshev's S(n,x-3) polynomials (exponents of x in increasing order).at n=41A207815
• Triangle read by rows, e.g.f. exp(x*z)/((exp(x/2)+exp(x*3/2))/((exp(3*x/2)+2*cos(sqrt(3)*x/2))/3)-1).at n=50A215065
• Coefficients of mock modular form H_1^(2) of type 2A.at n=15A256058
• Triangle of coefficients of Gaussian polynomials [2n+7,6]_q represented as finite sum of terms (1+q^2)^k*q^(g-k), where k = 0,1,...,g with g=6n+3.at n=72A267486
• Irregular triangle read by rows T(n,m), coefficients in power/Fourier series expansion of an arbitrary anharmonic oscillator's exact phase space angular velocity.at n=17A276814
• Triangle read by rows: coefficients of the Laplacian polynomial of the n-cycle graph C_n.at n=47A284982
• Expansion of 1 - x/(1 - x^3/(1 - x^5/(1 - x^7/(1 - x^9/(1 - ... - x^(2*k-1)/(1 - ...)))))), a continued fraction.at n=46A291874
• Triangle read by rows: T(n,k) is the numerator of R(n,k) defined implicitly by the identity Sum_{i=0..l-1} Sum_{j=0..m} R(m,j)*(l-i)^j*i^j = l^(2*m+1) holding for all l,m >= 0.at n=16A302971
• T(n, k) = [x^k] (-2)^n*(B(n, x/2) - B(n, (x+1)/2)) where B(n, x) are the Bernoulli polynomials. Triangle read by rows, for 0 <= k <= n.at n=61A333303
• Expansion of 1/sqrt(1 - 4*x/(1+x)^3).at n=14A360133
• Triangle read by rows: the coefficients of polynomials (1/3^(m-n)) * Sum_{k=0..m} k^n * 2^(m-k) * binomial(m,k) in the variable m.at n=30A383140