-800

Appears in sequences

• Expansion of Product_{m>=1} (1+m*q^m)^-20.at n=3A022712
• Expansion of g.f. Product_{n>=1} (1-x^n)*(1-x^(5*n))/(1-x^(3*n))^2.at n=38A054274
• Binomial transform, alternating in sign, of the tribonacci numbers.at n=17A073358
• Riordan array ((1-x)/(1+x), x/(1+x)^2).at n=62A110162
• Riordan array ((1+3*x-sqrt(1+2*x+9*x^2))/(2*x),(1+3*x-sqrt(1+2*x+9*x^2))/2).at n=48A125694
• Scaled coefficient table for Chebyshev polynomials 2*T(2*n, sqrt(x)/2) (increasing even scaled powers, without zero entries).at n=62A127677
• Coefficient array for orthogonal polynomials defined by C(2n,n).at n=17A128411
• Triangle read by rows: n-th row (n>=0) gives coefficients of characteristic polynomial of n X n generalized Cartan matrix M defined in Comments.at n=62A136678
• Triangular sequence from coefficients of a switched even -odd polynomial recursion: Even:p(x,n)=2*x*p(x, n - 1) - p(x, n - 2); Odd:p(x,n)=(1 - 2*x)*p(x, n - 1) - p(x, n - 2);.at n=41A137406
• Triangular sequence from coefficients of a switched even -odd polynomial recursion: odd:p(x,n)=2*x*p(x, n - 1) - p(x, n - 2); even:p(x,n)=(1 - 2*x)*p(x, n - 1) - p(x, n - 2);.at n=41A137408
• Triangular sequence from coefficients of a switched even -odd polynomial recursion: odd:p(x,n)=2*x*p(x, n - 1) - p(x, n - 2); even:p(x,n)=(1 - 2*x)*p(x, n - 1) - p(x, n - 2);.at n=49A137408
• A triangle of coefficients of a Chebyshev T(x,n) polynomials to make pair binomials by in {x,y,z} and x only polynomial reduced: f(x,y,n)=Sum[CoefficientList[ChebyshevT[n, x], x][[i + 1]]*x^i*y^(n - i), {i,0, Length[CoefficientList[ChebyshevT[n, x], x]] - 1}]; p(x,y,z,n)=f(x,y,n)+f(y,z,n)+f(z,x,n).at n=59A139569
• Triangle T(n,k) = A053120(n+2,k)-2*A053120(n+1,k)+A053120(n,k) read by rows, 0<=k<n.at n=41A140876
• Net gain in number of ON cells at stage n of the cellular automaton described in A079317.at n=41A151921
• Net gain in number of ON cells at stage n of the cellular automaton described in A079317.at n=43A151921
• Triangle read by rows, characteristic polynomials of Cartan ring matrices.at n=58A152060
• Triangle T, read by rows, where g.f. of row n of matrix power T^n = (n^3 + y)*y^(n-1) for n>=0.at n=18A152285
• Totally multiplicative sequence with a(p) = 10*(p-3) for prime p.at n=21A167320
• Totally multiplicative sequence with a(p) = (p-3)*(p+3) = p^2-9 for prime p.at n=25A167362
• Triangle T(n, k) = A176013(n, k) + A176013(n, n-k+1), read by rows.at n=12A176022