-4608

Appears in sequences

• sin(arcsinh(x)*arcsin(x))=2/2!*x^2-32/6!*x^6-4608/10!*x^10...at n=2A012599
• 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=39A028298
• Coefficient array for certain polynomials N(3; k,x) (rising powers of x).at n=21A062746
• 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=37A103247
• A generalized PolyLog triangular sequence of coefficients: k = (n + 1); b0 = 1; p(x,n,k)=(k - 1)!*(1 - x)^n*PolyLog[ -n, k, x]/(x*Log[1 - x]); t(n,m)=Coefficients(p(b0,n,k)).at n=46A142336
• Triangle of coefficients of x^n*H_n(x + 1/x), where H_n(x) is the Hermite polynomial of order n.at n=83A143507
• A complex matrix self-similar coefficient set of the imaginary part based on the Hadamard matrix pattern: {{1,1},{1,I}}.at n=27A158566
• a(n) = sin((2*n+5)*Pi/6)*(n+1)*2^(n+1).at n=8A176900
• Hankel transform of A186039.at n=9A186040
• G.f.: ( Sum_{n>=0} 8^n*x^(n^2) )^(1/2).at n=6A227295
• Triangle read by rows: coefficients of descending powers of the polynomial V(n,x) = cos((2n+1)(arccos(x)/2))/cos(arccos(x)/2), n >= 0.at n=83A228565
• Triangle read by rows: terms of a binomial decomposition of 1 as Sum(k=0..n)T(n,k).at n=47A244117
• Coefficients in q-expansion of E_2*E_6, where E_2, E_6 are the Eisenstein series shown in A006352, A013973, respectively.at n=2A282096
• Coefficients in expansion of (E_6^2/E_4^3)^(1/36).at n=2A299422
• Coefficients in expansion of (E_6^2/E_4^3)^(1/9).at n=2A299863
• Triangle read by rows: T(0,0) = 1; T(n,k) = 2*T(n-1,k) - 2*T(n-2,k-1) + T(n-3,k-2) for k = 0..floor(2*n/3); T(n,k)=0 for n or k < 0.at n=38A304213
• Expansion of Product_{k>0} (-1+sqrt(1+4*x^k))/(2*x^k).at n=9A327682
• Triangular array read by rows: row n shows the coefficients of this polynomial of degree n: (1/n!)*(numerator of n-th derivative of 1)/(1-x-2x^2).at n=43A328650
• a(n) is the permanent of a square matrix M(n) whose general element M_{i,j} is defined by floor((j - i + 1)/2).at n=7A350549
• A377091(k) for k in A379802.at n=43A379803