scipy.special.
euler#
- scipy.special.euler(n)[source]#
- Euler numbers E(0), E(1), …, E(n). - The Euler numbers [1] are also known as the secant numbers. - Because - euler(n)returns floating point values, it does not give exact values for large n. The first inexact value is E(22).- Parameters:
- nint
- The highest index of the Euler number to be returned. 
 
- Returns:
- ndarray
- The Euler numbers [E(0), E(1), …, E(n)]. The odd Euler numbers, which are all zero, are included. 
 
 - References [1]- Sequence A122045, The On-Line Encyclopedia of Integer Sequences, https://oeis.org/A122045 [2]- Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996. https://people.sc.fsu.edu/~jburkardt/f77_src/special_functions/special_functions.html - Examples - >>> import numpy as np >>> from scipy.special import euler >>> euler(6) array([ 1., 0., -1., 0., 5., 0., -61.]) - >>> euler(13).astype(np.int64) array([ 1, 0, -1, 0, 5, 0, -61, 0, 1385, 0, -50521, 0, 2702765, 0]) - >>> euler(22)[-1] # Exact value of E(22) is -69348874393137901. -69348874393137976.0