Euler Numbers Generator

Euler Numbers Generator computes nth Euler number for a given integer n. Euler numbers are a sequence E_n of integers defined by the Taylor expansion shown on the image below. All odd E_n are equal to zero, while even numbers are positive (n = 4 * k) or negative (n = 4 * k + 2) integers. The significance of Euler numbers is that they appear in coeffients of Euler polynomials.

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