-24576

Appears in sequences

• 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=54A028298
• Expansion of (1-x)/(1+2*x^2-2*x^3).at n=23A078034
• Expansion of (1-x^2)/(1+2x).at n=15A110164
• Matrix log of triangle A111835, which shifts columns left and up under matrix 8th power; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=25A111838
• Triangle T, read by rows, where matrix power T^4 has powers of 4 in the secondary diagonal: [T^4](n+1,n) = 4^(n+1), with all 1's in the main diagonal and zeros elsewhere.at n=18A117254
• a(n) = b(n+1)-2b(n) where b() is A134812.at n=28A134813
• Expansion of q * (psi(q^5) / psi(q))^2 in powers of q where psi() is a Ramanujan theta function.at n=29A138519
• Triangle read by rows: coefficients of polynomials arising from the recurrence A[n](x) = A[n-1]'(x)/(1-x) with A[0] = exp(x).at n=27A144505
• Antidiagonal expansion of rational polynomial with factors: p(x,n) = If[n == 0, 1/(1 - x), x*ChebyshevU[n, x]/ChebyshevT[n + 1, x]].at n=31A173293
• Expansion of (7+8*x)/(1+2*x).at n=13A176414
• Integer coefficient array for polynomials related to the minimal polynomials of cos(2Pi/n). Rising powers of x.at n=161A181877
• Expansion of q^(-1) * (phi(q^2) * phi(-q) / psi(-q^2)^2)^2 in powers of q where phi(), psi() are Ramanujan theta functions.at n=17A233458
• Chebyshev coefficients of density of states of 4D hypercubic lattice.at n=3A288459
• Triangle read by rows: T(0,0) = 1; T(n,k) = 2*T(n-1,k) - T(n-3,k-1) for k = 0..floor(n/3); T(n,k)=0 for n or k < 0.at n=41A317504
• Triangle read by rows: T(0,0) = 1; T(n,k) = 2 T(n-1,k) - T(n-4,k-1) for 0 <= k <= floor(n/4); T(n,k)=0 for n or k < 0.at n=37A317506
• Triangle read by rows: T(n,k) = (-1)^(n-k)*binomial(n, k)*(k+3)^n, for n >= 0, and k = 0,1, ..., n. Coefficients of certain Sidi polynomials.at n=22A362353