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Euler numbers

In mathematics, the Euler numbers are a sequence En of integers (sequence A122045 in the OEIS) defined by the Taylor series expansion 1 cosh ⁡ t = 2 e t + e − t = ∑ n = 0 ∞ E n n ! ⋅ t n , {\displaystyle {\frac {1}{\cosh t}}={\frac {2}{e^{t}+e^{-t}}}=\sum _{n=0}^{\infty }{\frac {E_{n}}{n!}}\cdot t^{n},} where cosh ⁡ ( t ) {\displaystyle \cosh(t)} is the…

Explicit formulas, Overview & Examples

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Euler zigzag numbers

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Map overview Semantic statistics

Euler numbers

Nodes27
Edges26
Triples27
Avg. degree1.93
Density0.074074
Components1

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Euler numbers

Top relations

related to Examples · 7
Euler numbers → A000364, A028296, Euler, OEIS, Some, The, This
related to External links · 7
Euler numbers → EMS Press, Encyclopedia, Eric, Euler, Mathematics, MathWorld, Weisstein
related to Congruences · 4
Euler numbers → Euler, For, Xu, Zhang
related to In terms of Stirling numbers of the second kind · 3
Euler numbers → Euler, Stirling, The
related to As a double sum · 2
Euler numbers → Euler, The
related to As an iterated sum · 2
Euler numbers → An, Euler
related to As a recursion · 1
Euler numbers → The Euler
related to Lower bound · 1
Euler numbers → The Euler

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Important terminology

euler numbers displaystyle number function sum taylor series oeis formulas also sequence following even cosh hyperbolic mathematics denotes 2n sec

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Euler numbersrelated to As a double sumThe0.60section
Euler numbersrelated to As a double sumEuler0.60section
Euler numbersrelated to As a recursionThe Euler0.60section
Euler numbersrelated to As an iterated sumAn0.60section
Euler numbersrelated to As an iterated sumEuler0.60section
Euler numbersrelated to CongruencesZhang0.60section
Euler numbersrelated to CongruencesEuler0.60section
Euler numbersrelated to CongruencesFor0.60section
Euler numbersrelated to CongruencesXu0.60section
Euler numbersrelated to ExamplesThe0.60section
Euler numbersrelated to ExamplesEuler0.60section
Euler numbersrelated to ExamplesA0282960.60section

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