Pascal's triangle: Difference between revisions
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{{task|Arithmetic operations}}[[wp:Pascal's triangle|Pascal's triangle]] is an arithmetic and geometric figure first imagined by [[wp:Blaise Pascal|Blaise Pascal]]. |
{{task|Arithmetic operations}}[[wp:Pascal's triangle|Pascal's triangle]] is an arithmetic and geometric figure first imagined by [[wp:Blaise Pascal|Blaise Pascal]]. |
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Its first few rows look like this: |
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1 |
1 |
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1 1 |
1 1 |
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row := row[AT 1] + row[AT 2] |
row := row[AT 1] + row[AT 2] |
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OD</lang> |
OD</lang> |
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{{Out}}<pre> |
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Output: |
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1 |
1 |
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1 1 |
1 1 |
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1 7 21 35 35 21 7 1 |
1 7 21 35 35 21 7 1 |
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1 8 28 56 70 56 28 8 1 |
1 8 28 56 70 56 28 8 1 |
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</pre> |
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=={{header|APL}}== |
=={{header|APL}}== |
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PRINT |
PRINT |
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NEXT row%</lang> |
NEXT row%</lang> |
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{{Out}} |
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Output: |
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<pre> 1 |
<pre> 1 |
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1 1 |
1 1 |
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& |
& |
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)</lang> |
)</lang> |
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{{Out}} |
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Output: |
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<pre>Number of rows? |
<pre>Number of rows? |
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7 |
7 |
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</lang> |
</lang> |
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{{Out}} |
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output |
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<pre> |
<pre> |
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> coffee pascal.coffee |
> coffee pascal.coffee |
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===Alternative Version=== |
===Alternative Version=== |
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There is similarity between Pascal's triangle and [[Sierpinski triangle]]. |
There is similarity between Pascal's triangle and [[Sierpinski triangle]]. |
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Their difference are the initial line and the operation that act on the line element to produce next line. |
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The following is a generic pascal's triangle implementation for positive number of lines output (n). |
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<lang d>import std.stdio, std.string, std.array, std.format; |
<lang d>import std.stdio, std.string, std.array, std.format; |
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Pascal(9);</lang> |
Pascal(9);</lang> |
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{{Out}}<pre> 1 |
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1 1 |
1 1 |
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1 2 1 |
1 2 1 |
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</lang> |
</lang> |
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{{Out}} |
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Output: |
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<pre> |
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Eshell V5.5.5 (abort with ^G) |
Eshell V5.5.5 (abort with ^G) |
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1> pascal:pascal(5). |
1> pascal:pascal(5). |
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[[1,4,6,4,1],[1,3,3,1],[1,2,1],[1,1],[1]] |
[[1,4,6,4,1],[1,3,3,1],[1,2,1],[1,1],[1]] |
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</pre> |
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=={{header|Euphoria}}== |
=={{header|Euphoria}}== |
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end for</lang> |
end for</lang> |
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{{Out}}<pre> |
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Output: |
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{1} |
{1} |
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{1,1} |
{1,1} |
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{1,8,28,56,70,56,28,8,1} |
{1,8,28,56,70,56,28,8,1} |
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{1,9,36,84,126,126,84,36,9,1} |
{1,9,36,84,126,126,84,36,9,1} |
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</pre> |
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=={{header|F Sharp|F#}}== |
=={{header|F Sharp|F#}}== |
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