2018-10-10 18:03:03 -04:00
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---
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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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2020-02-18 01:40:55 +09:00
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testString: assert.strictEqual(euler140(), 5673835352990);
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2018-10-10 18:03:03 -04:00
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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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2020-08-13 17:24:35 +02:00
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/section>
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