-816

Appears in sequences

• Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^18 in powers of x.at n=3A047643
• Triangle of coefficients of Chebyshev's S(n,x-2) = U(n,x/2-1) polynomials (exponents of x in increasing order).at n=62A053122
• Triangle of coefficients of shifted Chebyshev's S(n,x-2) = U(n,x/2-1) polynomials (exponents of x in decreasing order).at n=58A053123
• 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=58A079628
• Expansion of theta_3(q) / theta_3(q^2) in powers of q.at n=23A080015
• Triangle of coefficients of Chebyshev polynomials T_{2n+1} (x).at n=37A084930
• Expansion of (1+x)^2/((1+x)^2+x^3).at n=15A099529
• Expansion of g.f. (1+x)*(3+x)/(1+6*x^2+x^4).at n=7A100434
• Expansion of f(-q) / f(q) in powers of q where f() is a Ramanujan theta function.at n=23A108494
• Series expansion of x*(x+3)^2/(3*x+1)^2.at n=4A115053
• 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=62A118800
• Q(3,n), where Q(m,k) is defined in A127080 and A127137.at n=9A127145
• Coefficient table for Chebyshev's U(2*n,x) polynomials in decreasing powers of (1-x^2).at n=43A127675
• Triangle read by rows: T(n,k) is the coefficient [x^k] of (-1)^n times the characteristic polynomial of the Cartan matrix for the root system D_n.at n=62A129862
• Triangle of coefficients of characteristic polynomials of a special type of Cartan matrix: E_n for E_6,E_7,E_8,E_11 example M(6)/ E_6: {{2, -1, 0, 0, 0, 0}, {-1, 2, -1, 0, 0, 0}, {0, -1, 2, -1, 0, -1}, {0, 0, -1, 2, -1, 0}, {0, 0, 0, -1, 2, 0}, {0, 0, -1, 0, 0, 2}},.at n=62A136600
• 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=66A137335
• Triangle read by rows: alternating binomial coefficients with signs.at n=41A156290
• Table which contains in row n the mapping of the n-th block of 4 primes to 4 integers.at n=27A162156
• Coefficient array for orthogonal polynomials P(n,x)=x*P(n-1,x)-(2*floor((n+2)/2)-3)*P(n-2,x), P(0,x)=1,P(1,x)=x.at n=48A178107
• Coefficient array for integer polynomial version of minimal polynomials of sin(2*Pi/n). Rising powers of x.at n=88A181871