89 lines
2.2 KiB
Markdown
89 lines
2.2 KiB
Markdown
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@license Apache-2.0
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Copyright (c) 2018 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# Catalan's Constant
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> [Catalan's constant][catalan-constant].
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<section class="intro">
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[Catalan's constant][catalan-constant] `C` (also denoted `K` or `G`) commonly appears in estimates of combinatorial functions and may be defined by the following infinite series
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<!-- <equation class="equation" label="eq:catalan_constant" align="center" raw="C = \sum_{n=0}^{\infty} \frac{(-1)^{n}}{(2n+1)^2} = \frac{1}{1^2} - \frac{1}{3^2} + \frac{1}{5^2} - \frac{1}{7^2} + \cdots" alt="Catalan's constant"> -->
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<div class="equation" align="center" data-raw-text="C = \sum_{n=0}^{\infty} \frac{(-1)^{n}}{(2n+1)^2} = \frac{1}{1^2} - \frac{1}{3^2} + \frac{1}{5^2} - \frac{1}{7^2} + \cdots" data-equation="eq:catalan_constant">
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<img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@5d87cc7cb2c58aeb732872f89562d2c89571cc8a/lib/node_modules/@stdlib/constants/float64/catalan/docs/img/equation_catalan_constant.svg" alt="Catalan's constant">
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<br>
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</div>
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<!-- </equation> -->
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</section>
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<!-- /.intro -->
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<section class="usage">
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## Usage
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```javascript
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var CATALAN = require( '@stdlib/constants/float64/catalan' );
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```
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#### CATALAN
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[Catalan's constant][catalan-constant].
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```javascript
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var bool = ( CATALAN === 0.915965594177219 );
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// returns true
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```
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</section>
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<!-- /.usage -->
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<section class="examples">
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## Examples
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<!-- TODO: better example -->
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<!-- eslint no-undef: "error" -->
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```javascript
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var CATALAN = require( '@stdlib/constants/float64/catalan' );
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console.log( CATALAN );
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// => 0.915965594177219
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```
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</section>
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<!-- /.examples -->
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<section class="links">
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[catalan-constant]: http://en.wikipedia.org/wiki/Catalan%27s_constant
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</section>
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<!-- /.links -->
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