freeCodeCamp/curriculum/challenges/spanish/08-coding-interview-prep/rosetta-code/hofstadter-figure-figure-se...

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---
title: Hofstadter Figure-Figure sequences
id: 59622f89e4e137560018a40e
challengeType: 5
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videoUrl: ''
localeTitle: Hofstadter figura-secuencia secuencias
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---
## Description
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<section id="description"><p> Estas dos secuencias de enteros positivos se definen como: </p><p> <big>$$ R (1) = 1 \; \ S (1) = 2 \\ R (n) = R (n-1) + S (n-1), \ quad n&gt; 1. $$</big> </p><p> La secuencia <big>$ S (n) $</big> se define además como la secuencia de enteros positivos que no están presentes en <big>$ R (n) $</big> . </p><p> Secuencia <big>$ R $</big> comienza: </p><p> 1, 3, 7, 12, 18, ... </p><p> Secuencia <big>$ S $</big> comienza: </p><p> 2, 4, 5, 6, 8, ... </p> Tarea: cree dos funciones denominadas ffr y ffs que cuando se asignan n devuelvan R (n) o S (n) respectivamente (tenga en cuenta que R (1) = 1 y S (1) = 2 para evitar errores off-by-one) . No se debe asumir ningún valor máximo para n. <a href="http://oeis.org/A005228" title="enlace: http://oeis.org/A005228">A005228</a> y <a href="http://oeis.org/A030124" title="enlace: http://oeis.org/A030124">A030124 de Sloane</a> . <a href="http://mathworld.wolfram.com/HofstadterFigure-FigureSequence.html" title="enlace: http://mathworld.wolfram.com/HofstadterFigure-FigureSequence.html">Wolfram MathWorld</a> Wikipedia: <a href="https://en.wikipedia.org/wiki/Hofstadter_sequence#Hofstadter_Figure-Figure_sequences" title="wp: Hofstadter_sequence # Hofstadter_Figure-Figure_sequences">Hofstadter Figura-Figura secuencias</a> . </section>
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## Instructions
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<section id="instructions">
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</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>ffr</code> es una función.
testString: 'assert(typeof ffr === "function", "<code>ffr</code> is a function.");'
- text: <code>ffs</code> es una función.
testString: 'assert(typeof ffs === "function", "<code>ffs</code> is a function.");'
- text: <code>ffr</code> debería devolver entero.
testString: 'assert(Number.isInteger(ffr(1)), "<code>ffr</code> should return integer.");'
- text: <code>ffs</code> debe devolver entero.
testString: 'assert(Number.isInteger(ffs(1)), "<code>ffs</code> should return integer.");'
- text: <code>ffr()</code> debe devolver <code>69</code>
testString: 'assert.equal(ffr(ffrParamRes[0][0]), ffrParamRes[0][1], "<code>ffr()</code> should return <code>69</code>");'
- text: <code>ffr()</code> debe devolver <code>1509</code>
testString: 'assert.equal(ffr(ffrParamRes[1][0]), ffrParamRes[1][1], "<code>ffr()</code> should return <code>1509</code>");'
- text: <code>ffr()</code> debe devolver <code>5764</code>
testString: 'assert.equal(ffr(ffrParamRes[2][0]), ffrParamRes[2][1], "<code>ffr()</code> should return <code>5764</code>");'
- text: <code>ffr()</code> debe devolver <code>526334</code>
testString: 'assert.equal(ffr(ffrParamRes[3][0]), ffrParamRes[3][1], "<code>ffr()</code> should return <code>526334</code>");'
- text: <code>ffs()</code> debe devolver <code>14</code>
testString: 'assert.equal(ffs(ffsParamRes[0][0]), ffsParamRes[0][1], "<code>ffs()</code> should return <code>14</code>");'
- text: <code>ffs()</code> debe devolver <code>59</code>
testString: 'assert.equal(ffs(ffsParamRes[1][0]), ffsParamRes[1][1], "<code>ffs()</code> should return <code>59</code>");'
- text: <code>ffs()</code> debe devolver <code>112</code>
testString: 'assert.equal(ffs(ffsParamRes[2][0]), ffsParamRes[2][1], "<code>ffs()</code> should return <code>112</code>");'
- text: <code>ffs()</code> debe devolver <code>1041</code>
testString: 'assert.equal(ffs(ffsParamRes[3][0]), ffsParamRes[3][1], "<code>ffs()</code> should return <code>1041</code>");'
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
// noprotect
function ffr(n) {
return n;
}
function ffs(n) {
return n;
}
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```
</div>
### After Test
<div id='js-teardown'>
```js
console.info('after the test');
```
</div>
</section>
## Solution
<section id='solution'>
```js
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// solution required
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```
</section>