Speakur

Word Pronunciation & Dictionary

catalan's constant

Word Rarity Very rare

Frequency: Zipf frequency 1.26 in modern English

Syllables
cata-lan's -con-stant
IPA
20
Scrabble Score
16
Letters
4
Syllables
7
Unique Chars

Meaning

name

The number G=β(2)=∑ₙ₌₀ ᪲((-1)ⁿ)/((2n+1)²)=1/(1²)-1/(3²)+1/(5²)-1/(7²)+1/(9²)-⋯, where β is the Dirichlet beta function, with a value of approximately 0.915965594177…

Etymology

Named after French and Belgian mathematician Eugène Charles Catalan.

Questions

What does catalan's constant mean?
The number G=β(2)=∑ₙ₌₀ ᪲((-1)ⁿ)/((2n+1)²)=1/(1²)-1/(3²)+1/(5²)-1/(7²)+1/(9²)-⋯, where β is the Dirichlet beta function, with a value of approximately 0.915965594177…
Where does catalan's constant come from?
Named after French and Belgian mathematician Eugène Charles Catalan.

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