76 lines
1.1 KiB
Markdown
76 lines
1.1 KiB
Markdown
---
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id: 5900f4b71000cf542c50ffc9
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challengeType: 5
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title: 'Problem 330: Euler''s Number'
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---
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## Description
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<section id='description'>
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An infinite sequence of real numbers a(n) is defined for all integers n as follows:
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<!-- TODO Use MathJax and re-write from projecteuler.net -->
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For example,a(0) = 11! + 12! + 13! + ... = e − 1
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a(1) = e − 11! + 12! + 13! + ... = 2e − 3
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a(2) = 2e − 31! + e − 12! + 13! + ... = 72 e − 6
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with e = 2.7182818... being Euler's constant.
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It can be shown that a(n) is of the form
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A(n) e + B(n)n!
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for integers A(n) and B(n).
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For example a(10) =
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328161643 e − 65269448610!.
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Find A(109) + B(109) and give your answer mod 77 777 777.
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</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>euler330()</code> should return 15955822.
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testString: assert.strictEqual(euler330(), 15955822);
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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 euler330() {
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// Good luck!
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return true;
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}
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euler330();
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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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