Euler number

In mathematics, the Euler numbers are a sequence E_n of integers (sequence A122045 in OEIS) defined by the Taylor series expansion

where cosh t is the hyperbolic cosine. The Euler numbers appear as a special value of the Euler polynomials.

The odd-indexed Euler numbers are all zero. The even-indexed ones (sequence A028296 in OEIS) have alternating signs. Some values are:

单词	Euler numbers
释义	Euler numbers 英语百科 Euler number In mathematics, the Euler numbers are a sequence E_n of integers (sequence A122045 in OEIS) defined by the Taylor series expansion where cosh t is the hyperbolic cosine. The Euler numbers appear as a special value of the Euler polynomials. The odd-indexed Euler numbers are all zero. The even-indexed ones (sequence A028296 in OEIS) have alternating signs. Some values are:
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