56 lines
1.4 KiB
Markdown
56 lines
1.4 KiB
Markdown
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---
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id: 5900f4f81000cf542c51000b
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challengeType: 5
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videoUrl: ''
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localeTitle: 问题396：弱Goodstein序列
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---
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## Description
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<section id="description">对于任何正整数n，第n个弱Goodstein序列{g1，g2，g3，...}定义为：g1 = n，对于k> 1，gk是通过在基k中写gk-1获得的，将其解释为a基数k + 1，减去1。 <p>当gk变为0时，序列终止。 </p><p>例如，第6个弱Goodstein序列是{6,11,17,25，...}：g1 = 6. g2 = 11，因为6 = 1102,1103 = 12，12 - 1 = 11. g3 = 17 11 = 1023,1024 = 18,18-1 = 17.g4 = 25，因为17 = 1014,1015 = 26,26-1 = 25。 </p><p>等等。 </p><p>可以证明，每个弱的Goodstein序列都会终止。 </p><p>设G（n）为第n个弱Goodstein序列中的非零元素的数量。可以证实G（2）= 3，G（4）= 21和G（6）= 381.还可以证实ΣG（n）= 2517，1≤n<8。 </p><p>找到ΣG（n）的最后9位数，1≤n<16。 </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>euler396()</code>应该返回173214653。
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testString: assert.strictEqual(euler396(), 173214653);
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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 euler396() {
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// Good luck!
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return true;
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}
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euler396();
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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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