-2816

Appears in sequences

• Triangle of coefficients of Chebyshev polynomials T_n(x).at n=40A008310
• sin(tanh(x)+tan(x))=2*x-8/3!*x^3+64/5!*x^5-2816/7!*x^7+80896/9!*x^9...at n=3A013134
• Coefficients of Chebyshev polynomials of the first kind: triangle of coefficients in expansion of cos(n*x) in descending powers of cos(x).at n=37A028297
• Triangle of coefficients in expansion of sin(n*x) (or sin(n*x)/cos(x) if n is even) in ascending powers of sin(x).at n=33A028298
• Triangle of coefficients of cos(x)^n in polynomial for cos(nx).at n=68A039991
• a(n) = A048106(A001405(n)).at n=45A048244
• Triangle of coefficients of Chebyshev's T(n,x) polynomials (powers of x in increasing order).at n=75A053120
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 6.at n=45A060025
• 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=52A079628
• 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=64A079628
• Triangle of coefficients of Chebyshev polynomials T_{2n+1} (x).at n=19A084930
• Triangle read by rows: T(n,k) is the coefficient of x^k (0<=k<=n) in the monic characteristic polynomial of the n X n matrix with 3's on the diagonal and 1's elsewhere (n>=1). Row 0 consists of the single term 1.at n=45A103247
• a(n) = permanent of a bordered n X n (1,-1)-matrix with the following property: the elements on the border are 1; if we concatenate the rows of the matrix to form a vector v of length n^2, v_i = -1 if i is not a prime. The border of a matrix consists of the first and the last row and the first and the last column.at n=6A114530
• 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=56A118800
• Riordan array (1/(1+2*x), x*(1+x)/(1+2*x)^2).at n=37A123876
• Coefficient table for Chebyshev's U(2*n,x) polynomials in decreasing powers of (1-x^2).at n=17A127675
• A scaled version of the coefficient array for orthogonal polynomials defined by C(2n,n).at n=41A128412
• Riordan array ((1-2x)/(1+2x),x/(1+2x)^2).at n=41A128414
• Coefficient table for polynomials related to the eigenfunctions of a certain Schroedinger problem (Poeschl-Teller I).at n=52A130415
• A triangular sequence of coefficients of even plus odd Chebyshev polynomials, A053120: q(x,n) = T(x,2*n-1)+T(x,2*n).at n=46A137307