Look-and-say sequence: Difference between revisions
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=={{header|Mathematica}}/{{header|Wolfram Language}}== |
=={{header|Mathematica}}/{{header|Wolfram Language}}== |
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The function: |
The function: |
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<lang Mathematica> LookAndSay[n_Integer?Positive]:=Map[Reverse,Tally/@Split@IntegerDigits@n,2]//Flatten//FromDigits</lang> |
<lang Mathematica> LookAndSay[n_Integer?Positive]:=Map[Reverse, Tally/@ Split @ IntegerDigits @ n,2] // Flatten // FromDigits</lang> |
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takes an arbitrary positive integer, and generates the next member of the ‘Look and Say’ sequence. |
takes an *arbitrary* positive integer, and generates the next member of the ‘Look and Say’ sequence. |
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The first example returns the |
The first example returns the next 12 numbers of the sequence starting with 1: |
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<lang Mathematica>NestList[LookAndSay, 1, 12] // Column</lang> |
<lang Mathematica>NestList[LookAndSay, 1, 12] // Column</lang> |
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returns |
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<pre style='height:15em;overflow:scroll'>1 |
<pre style='height:15em;overflow:scroll'>1 |
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1321132132111213122112311311222113111221131221</pre> |
1321132132111213122112311311222113111221131221</pre> |
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The second example returns the next 12 numbers of the sequence starting with 7: |
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Entering 7: |
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<lang Mathematica>NestList[LookAndSay, 7, 12] // Column</lang> |
<lang Mathematica>NestList[LookAndSay, 7, 12] // Column</lang> |
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generates: |
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<pre style='height:15em;overflow:scroll'>7 |
<pre style='height:15em;overflow:scroll'>7 |