2018-10-10 22:03:03 +00:00
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---
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id: 5900f4c11000cf542c50ffd3
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2020-12-16 07:37:30 +00:00
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title: 问题341:Golomb的自我描述序列
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2018-10-10 22:03:03 +00:00
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challengeType: 5
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videoUrl: ''
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---
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2020-12-16 07:37:30 +00:00
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# --description--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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Golomb的自描述序列{G(n)}是唯一的非递减自然数序列,因此n在序列中恰好出现G(n)次。前几个n的G(n)值是
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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n123456789101112131415 ... G(n)的122334445556666 ...
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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给出G(103)= 86,G(106)= 6137.对于1≤n<103,还给出ΣG(n3)= 153506976。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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找到ΣG(n3)为1≤n<106。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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# --hints--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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`euler341()`应该返回56098610614277016。
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2018-10-10 22:03:03 +00:00
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```js
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2020-12-16 07:37:30 +00:00
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assert.strictEqual(euler341(), 56098610614277016);
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2018-10-10 22:03:03 +00:00
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```
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2020-12-16 07:37:30 +00:00
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# --solutions--
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2020-08-13 15:24:35 +00:00
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