-7936

Appears in sequences

• Triangle of coefficients of Euler polynomials 2^n*E_n(x) (exponents in increasing order).at n=45A004174
• Triangle of coefficients of Euler polynomials 2^n*E_n(x) (exponents in decreasing order).at n=54A004175
• Expansion of log(1+sin(x)/cosh(x)).at n=10A009342
• Expansion of e.g.f.: log(1+tanh(x)*cos(x)).at n=10A009394
• Apply inverse of "INVERT" transform to primes with prime exponents.at n=22A058315
• Triangle read by rows, T(n,k) = 2^(n-k)*[x^k] Euler_polynomial(n, x), for n >= 0, k >= 0.at n=45A081733
• Triangle read by rows: nonzero coefficients of polynomials 2^n*E(n,x), with E the Euler polynomials.at n=34A099932
• Expansion of g.f.: -x*(1 - 2*x + 6*x^2 - 2*x^3 + x^4)/((1-x)^3*(1+x)^4).at n=30A122576
• Irregular triangle, T(n, k) = coefficients of p(x, n), where p(x, n) = (1-2*x)^(n+1) * Sum_{j>=0} j^n*(x/(1-x))^j, read by rows.at n=50A142073
• Expansion of e.g.f. 2*exp(x)*(1-exp(x))/(1+exp(2*x)).at n=9A163747
• Real part of the coefficient [x^n] of the expansion of (1+i)/(1-i*exp(x)) - 1 multiplied by 2*n!, where i is the imaginary unit.at n=9A163982
• The infinite Seidel matrix H read by antidiagonals upwards; H = (H(n,k): n,k >= 0).at n=53A236935
• The infinite Seidel matrix H read by antidiagonals upwards; H = (H(n,k): n,k >= 0).at n=54A236935
• The infinite Seidel matrix H read by antidiagonals upwards; H = (H(n,k): n,k >= 0).at n=64A236935
• T(n,k) = binomial(n,k)*A000111(n-k)*(-1)^(n-k), 0 <= k <= n.at n=45A247453
• Triangle read by rows, T(n, k) = Sum_{j=0..n} (-1)^(k-j)*Eulerian1(n, j)* binomial(n-j, n-k) for 0 <= k <= n.at n=54A291977
• T(n, k) = 2^n * n! * [x^k] [z^n] (4*exp(x*z))/(exp(z) + 1)^2, triangle read by rows, for 0 <= k <= n. Coefficients of Euler polynomials of order 2.at n=36A326480
• a(n) = E2_{n}(0) with E2_{n} the polynomials defined in A326480.at n=8A326481
• Irregular array related to the Euler numbers, read by rows, T_row(n) = A326722_row(2*n) + A326722_row(2*n+1) for n >= 0, T_row(-1) = [1].at n=25A326721
• T(n, k) = n! * [x^k] [y^n] sec(z)(x + z*sin(z)/y) where z = y*sqrt(x^2 - 1) for 0 <= k <= n+1 and T(-1, 0) = 1, triangle read by rows.at n=55A326722