-864
domain: Z
Appears in sequences
- Coefficients in expansion of Eisenstein series E_2 (also called E_1 or G_2).at n=22A006352
- Specific heat coefficients for square lattice spin 3 Ising model.at n=12A030122
- Expansion of (1+6x-60x^2)/((1-6x)(1+6x)).at n=4A091097
- Coefficients of the C-Bailey Mod 9 identity.at n=67A104469
- Riordan array ((1-x^2)/(1+3x+x^2),x/(1+3x+x^2)).at n=22A110168
- Matrix log of triangle A111825, which shifts columns left and up under matrix 6th power; these terms are the result of multiplying each element in row n and column k by (n-k)!.at n=18A111828
- a(n) is the determinant of the 3 X 3 matrix with entries the 9 consecutive primes starting with the n-th prime.at n=42A117330
- Triangle T(n, k) = k^4 - n^4 + 2*k*n*(1 - k^2*n^2), read by rows.at n=16A123963
- Triangle read by rows: characteristic polynomials of certain matrices, see Mathematica program.at n=22A124040
- Triangular table containing values of coefficients of the characteristic polynomial of a certain n x n circulant matrix, read by rows.at n=47A127412
- Triangle read by rows: A011971 * A007318^(-1).at n=19A136790
- Triangular sequence from coefficients of characteristic polynomial of n X n prime element matrices: M=A.B.A^(-1); (A(3) is singular): examples; A(4)= {{2, 3, 5, 7, 11}, {3, 5, 7, 11, 13}, {5, 7, 11, 13, 17}, {7, 11, 13, 17, 19}, {11, 13, 17, 19, 23}} B(4)= {{3, 5, 7, 11, 13}, {5, 7, 11, 13, 17}, {7, 11, 13, 17, 19}, {11, 13, 17, 19, 23}, {13, 17, 19, 23, 29}}.at n=12A137405
- A triangle of coefficients of a product polynomial sequence based on Chebyshev T:differentiation of T[(x,n) which gives U(x,n): p(x,n) = Product_{m=0..n} Sum_{i=0..m} (d/dx) T(x,i+1).at n=42A139809
- Triangle T(n,k) = A053120(n+2,k)-2*A053120(n+1,k)+A053120(n,k) read by rows, 0<=k<n.at n=33A140876
- Expansion of K(k) * (6 * E(k) - (1 + 4*k'^2) * K(k)) / (Pi/2)^2 in powers of q where E(k), K(k) are complete elliptic integrals and q = exp(-Pi * K(k') / K(k)).at n=22A143337
- Triangle read by rows: row n (n > 0) gives the coefficients of x^k (0 <= k <= n - 1) in the expansion of Sum_{j=0..n} A000931(j+4)*binomial(n, j)*x^(j - 1)*(1 - x)^(n - j).at n=42A144400
- First differences of A046163.at n=35A153171
- A triangle sequence from matrix polynomials of a three symbol type {0, 1, -1}: c(i,k)= Floor[Mod[i/2^k, 2]]; M(d)=Table[If[Sum[c(n, k)*c(m, k), {k, 0, d - 1}] == 0, 1, If[Sum[c(n, k)*c(m, k), {k, 0, d - 1}] == 1, -1, 0]], {n, 0, d - 1}, {m, 0, d - 1}].at n=38A158417
- Totally multiplicative sequence with a(p) = 6*(p-3) for prime p.at n=49A167316
- Totally multiplicative sequence with a(p) = (p+1)*(p-3) = p^2-2p-3 for prime p.at n=55A167352