-1716

Appears in sequences

• Expansion of (1-4*x)^(13/2).at n=3A020925
• Triangle of binomial coefficients C(-n,k).at n=35A027555
• Triangle of coefficients of characteristic polynomial of M_n, the n X n matrix M_(i,j) = min(i,j).at n=62A076756
• Riordan array (1/(1+x)^3,x/(1+x)^2).at n=47A109954
• a(n) = binomial(2*n-1, n)*(-1)^n.at n=7A110556
• Triangle of Hankel transforms of binomial(n+k, k).at n=34A120247
• Triangle read by rows: T(0,0)=1; T(n,k) is the coefficient of x^(n-k) in the monic characteristic polynomial of the n X n matrix (min(i,j)) (i,j=1,2,...,n) (0 <= k <= n, n >= 1).at n=58A123970
• Inverse binomial transform of A005043.at n=13A126930
• Riordan array (1/(1+x), x/(1+x)^2), inverse array is A039599.at n=58A129818
• Irregular triangle read by rows: the n-th row gives the coefficients of Phi(n, 1-x), where Phi(n, x) is the n-th cyclotomic polynomial.at n=65A140815
• Numerators of triangle T(n,k), n>=0, 0<=k<=n, read by rows: T(n,k) is the coefficient of x^(2k+1) in polynomial v_n(x), used to approximate x->sin(Pi*x)/Pi.at n=35A144859
• Triangular array read by rows: [T(n,k),k=1..tau(n)] = [-n!/(d*(-(n/d)!)^d), d|n].at n=38A182928
• G.f. is the real part of the function C(x) that satisfies C(x) = 1 + x/C(I*x).at n=28A193382
• G.f. is the real part of the function C(x) that satisfies C(x) = 1 + x/C(I*x).at n=29A193382
• G.f. satisfies: A(x) = 1 + 2*x*sqrt(A(x)/A(-x)).at n=17A198786
• Smallest Euler characteristic of a downset on an n-dimensional cube.at n=13A214283
• Coefficient triangle for powers of x^2 of polynomials appearing in a generalized Melham conjecture on alternating sums of third powers of Chebyshev's S polynomials with odd indices. Coefficients in powers of x^2 of 2 + (-1)^n*S(2*n,x).at n=58A220670
• Irregular triangle read by rows: coefficients of minimal polynomial of a certain algebraic number S2(2*k+1) from Q(2*cos(Pi/n)) related to the regular (2*k+1)-gon, k >= 1.at n=22A228781
• Start with 2, then successively subtract the primes 3, 5, 7, ...at n=30A282329
• First term of n-th difference sequence of (floor(Pi*k/2)), k >= 0.at n=14A325741