-2640

Appears in sequences

• Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^5.at n=19A029842
• Coefficient list of ChebyshevU(n, 1-x).at n=31A100551
• Triangle read by rows: T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the n X n matrix with 2's on the diagonal and 1's elsewhere (n >= 1 and 0 <= k <= n). Row 0 consists of the single term 1.at n=70A103283
• Riordan array ((1-x)/(1+x), x/(1+x)^2).at n=58A110162
• Expansion of c(x*y*(1-x)), c(x) the g.f. of A000108.at n=51A115179
• Triangle read by rows: T(0,0)=1; for n >= 1 T(n,k) is the coefficient of x^k in the monic characteristic polynomial of the tridiagonal n X n matrix with main diagonal 5,5,5,... and sub- and superdiagonals 1,1,1,... (0 <= k <= n).at n=15A123967
• Scaled coefficient table for Chebyshev polynomials 2*T(2*n, sqrt(x)/2) (increasing even scaled powers, without zero entries).at n=58A127677
• Expansion of 1 - (1/3) * b(q) * b(q^2) * c(q)^2 / c(q^2) in powers of q where b(), c() are cubic AGM functions.at n=45A132001
• Integral form of A137286: Triangle of coefficients of Integral form of recursive orthogonal Hermite polynomials given in Hochstadt's book: n*IP(x, n) = x*P(x, n ) - n*P'(x, n - 2); derived to a constant from the differential recursion: P''(x,n)=x*P'(x,n)-n*P(x,n).at n=59A136262
• Expansion of g.f. (1+x)^2*(x^2-6*x+1)/(x-1)^4.at n=10A136264
• Coefficients for rewriting generalized falling factorials into ordinary falling factorials.at n=17A136656
• Triangle of coefficients of a version of the Hermite polynomials defined by P(x, n) = x*P(x, n - 1) - n*P(x, n - 2).at n=48A137286
• A triangular sequence of coefficients of a PolyLog functional polynomials: p(x,n) = 16*x^(n + 1)*PolyLog(-n, (1 - x)/(1 + x))/((1 + x)*(1 - x)).at n=38A142154
• Triangle read by rows, characteristic polynomials of Cartan ring matrices.at n=62A152060
• Alternating sum of the squares of the first n even-indexed Fibonacci numbers.at n=5A156088
• Triangle T(n, k, m) = t(n, m)/(t(k, m)*t(n-k, m)), where t(n, k) = Product_{j=1..n} p(j, k+1), p(n, x) = Sum_{j=0..n} (-1)^j*A053122(n, j)*x^j, and m = 6, read by rows.at n=22A156600
• Triangle T(n, k, m) = t(n, m)/(t(k, m)*t(n-k, m)), where t(n, k) = Product_{j=1..n} p(j, k+1), p(n, x) = Sum_{j=0..n} (-1)^j*A053122(n, j)*x^j, and m = 6, read by rows.at n=26A156600
• Expansion of eta(q)^5 * eta(q^3) * eta(q^6)^4 / eta(q^2)^4 in powers of q.at n=45A214262
• Triangle, read by rows of n^2 terms, where row n equals the coefficients in the series reversion of the function G(y,n)-1 such that: y = Sum_{m>=1} 1/G(y,n)^(2*n*m) * Product_{k=1..m} (1 - 1/G(y,n)^(2*k-1)).at n=24A214690
• Coefficient triangle of the Hermite-Bell polynomials for power -2.at n=14A215216