-50521
domain: Z
Appears in sequences
- Expansion of e.g.f. Gudermannian(x) = 2*arctan(exp(x)) - Pi/2.at n=5A028296
- Exponential Riordan array (sech(x), tanh(x)).at n=55A060081
- Triangle read by rows: T(n, k) = (-2)^k*binomial(n, k)*Euler(k, 1/2).at n=65A081658
- Exponential Riordan array (sech(x),x).at n=55A119879
- Expansion of e.g.f.: (1+x)*sech(x).at n=10A119882
- Euler (or secant) numbers E(n).at n=10A122045
- Riordan array [sech(x), arcsin(tanh(x))].at n=55A147308
- Riordan array [1, arcsin(tanh(x))].at n=67A147311
- Nonzero coefficients of the Swiss-Knife polynomials for the computation of Euler, tangent, and Bernoulli numbers (triangle read by rows).at n=35A153641
- Expansion of e.g.f. 2*exp(x)*(1-exp(x))/(1+exp(2*x)).at n=10A163747
- Beta polynomials (coefficients in descending order, triangle read by rows).at n=55A177762
- Numerators of generalized Bernoulli numbers associated with the zigzag numbers A000111.at n=11A185424
- The infinite Seidel matrix H read by antidiagonals upwards; H = (H(n,k): n,k >= 0).at n=55A236935
- The infinite Seidel matrix H read by antidiagonals upwards; H = (H(n,k): n,k >= 0).at n=56A236935
- a(n) = E(n) - E(n+1), where E(n) are the Euler numbers A122045(n).at n=10A241209
- Generalized Euler numbers: Square array read by descending antidiagonals, T(n, k) = k!*[x^k] exp(n*x)*sech(x), n>=0, k>=0.at n=55A247498
- Square array read by ascending antidiagonals: number of m-shape Euler numbers.at n=33A260877
- Generalized Worpitzky numbers W_{m}(n,k) for m = 2, n >= 0 and 0 <= k <= n, triangle read by rows.at n=15A318259
- A(n, k) = (m*k)! [x^k] MittagLefflerE(m, x)^(-n), for m = 2, n >= 0, k >= 0; square array read by descending antidiagonals.at n=22A326327
- Triangle with Euler (secant) numbers, read by rows, T(n, k) for 0 <= k <= n.at n=15A326724