56 lines
1.3 KiB
Markdown
56 lines
1.3 KiB
Markdown
---
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id: 5900f3fa1000cf542c50ff0c
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challengeType: 5
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title: 'Problem 140: Modified Fibonacci golden nuggets'
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videoUrl: ''
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localeTitle: 问题140:改进的斐波那契金块
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---
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## Description
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<section id="description">考虑无穷多项式系列AG(x)= xG1 + x2G2 + x3G3 + ...,其中Gk是二阶递归关系的第k项,Gk = Gk-1 + Gk-2,G1 = 1,G2 = 4;也就是说,1,4,5,9,14,23 ......对于这个问题,我们将关注x的值,其中AG(x)是正整数。前五个自然数的x的相应值如下所示。 <p> xAG(x)(√5-1)/ 41 2/52(√22-2)/ 63(√137-5)/ 144 1/25 </p><p>如果x是理性的,我们将称AG(x)为金块,因为它们变得越来越稀少;例如,第20个金块是211345365.找到前30个金块的总和。 </p></section>
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## Instructions
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<section id="instructions">
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler140()</code>应该返回5673835352990。
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testString: 'assert.strictEqual(euler140(), 5673835352990, "<code>euler140()</code> should return 5673835352990.");'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler140() {
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// Good luck!
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return true;
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}
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euler140();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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