euler(n)

The Euler numbers 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

n : int

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.

Euler numbers E(0), E(1), ..., E(n).

Examples

>>> 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

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.special._basic.euler

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