-13312

Appears in sequences

• Triangle of coefficients of Chebyshev polynomials T_n(x).at n=54A008310
• 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=50A028297
• 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=47A028298
• Expansion of 1/(1+2*x^2-2*x^3).at n=22A077964
• Expansion of 1/(1+2*x^2+2*x^3).at n=22A077968
• Triangle of coefficients of Chebyshev polynomials T_{2n+1} (x).at n=26A084930
• G.f. A(x) satisfies: 5^n - 1 = Sum_{k=0..n} [x^k]A(x)^n and also satisfies: (5+z)^n - (1+z)^n + z^n = Sum_{k=0..n} [x^k](A(x)+z*x)^n for all z, where [x^k]A(x)^n denotes the coefficient of x^k in A(x)^n.at n=10A100231
• Expansion of x^3 / ( 1+2*x^2+2*x^3 ).at n=24A123958
• Coefficient table for Chebyshev's U(2*n,x) polynomials in decreasing powers of (1-x^2).at n=22A127675
• 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=61A137307
• Triangular array read by rows, from polynomial recursion for every other term of Chebyshev orthogonal polynomials of the second kind: U(x,n)=Sin((n+1)*ArcSin(x))/Sin(ArcSin(x)) As q(x,n)=-2*(-1+2*x^2)*q(x,n-1)-q(x,n-1).at n=46A137335
• Coefficient array for integer polynomial version of minimal polynomials of sin(2*Pi/n). Rising powers of x.at n=62A181871
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max(2i-1, 2j-1) (A204022).at n=36A204023
• Triangle of coefficients in the logarithm of a generalized theta function.at n=88A227311
• Irregular triangle read by rows: coefficients of minimal polynomial of a certain algebraic number S2(2*k) from Q(2*cos(Pi/(2*k))) related to the regular (2*k)-gon.at n=47A228782