Problem 37. Pascal's Triangle

Created by Cody Team

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given an integer n &gt;= 0, generate the length n+1 row vector representing the n-th row of</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/Pascals_triangle\"><w:r><w:t>Pascal's Triangle</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Examples:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ pascalTri(0)\n ans =\n     1\n\n pascalTri(1)\n ans =\n     1     1\n\n pascalTri(2)\n ans =\n     1     2     1]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

7158 Solutions
3160 Solvers

Last Solution submitted on Jun 19, 2021

Last 200 Solutions

Problem Comments

5 Comments

5 Comments

Show 2 older comments

@bmtran (Bryant Tran) on 26 Jan 2012

the last assertion is wrong

Jim Hokanson on 26 Jan 2012

Oops, I guess I commented in the solution, not the problem. (What's the difference????) They should check if their answer is symmetrical, which it isn't, so their solution must be wrong regardless of subsequent values

Ned Gulley on 26 Jan 2012

I've removed the last assertion and rescored. Thanks for the note.

Austin Evans on 26 Nov 2018

fun!

Darshan Vijayaraghavan on 25 Jun 2020

Fun!!

Solution Comments

Solution 1877879

1 Comment

1 Comment

Rudolf Csikja on 18 Jul 2019

a nice one-liner, again

Solution 1430692

1 Comment

1 Comment

GrauImLicht on 1 Feb 2018

Easy, but I enjoyed it nevertheless.

Solution 1269017

1 Comment

1 Comment

Jens Christiansen on 15 Sep 2017

Used expm but the numbers didn't equal until I wrapped with int16.

Solution 1194268

1 Comment

1 Comment

Informaton on 21 May 2017

using convolution

Solution 778649

3 Comments

3 Comments

Brian Butler on 14 Nov 2015

Size is 26. How do you get any less?

Matthew Dvorsky on 25 Mar 2016

"y = arrayfun(@nchoosek, repmat(n, 1, n + 1), 0:n)" gives a score of 23

Yong Chiang Pin on 28 Dec 2016

Good Qeustion

Solution 592079

1 Comment

1 Comment

Joseph Laub on 5 Mar 2015

Why won't syms work? I can run this in MATLAB and it outputs the correct pascal line given n.

Solution 248401

1 Comment

1 Comment

Hai on 23 May 2013

using cell

Solution 181535

1 Comment

1 Comment

Youssef Khmou on 25 Dec 2012

We used a subfunction Cpn(n,p)
Y=factorial(p)/(factorial(n)*factorial(p-n)) instead of the function "nchoosek" .

Solution 49074

2 Comments

2 Comments

Selvaraaju Murugesan on 23 Feb 2012

When I submitted the solution "y=round((2^n)*binopdf(0:n,n,0.5));" cody test aborted by saying "binopdf" is an undefined function. Strange !!

William Smith on 25 Sep 2012

binopdf is part of the statistics toolbox, not core Matlab.

Solution 2209

1 Comment

1 Comment

Jim Hokanson on 26 Jan 2012

How about an assertion on whether or not the sides are symmetric?
This problem's last assertion is wrong :/

isequal(correct(1:27),correct(54:-1:28))

At first I thought it was an issue with accuracy on my end ...

Problem Recent Solvers3160

Problem Tags

combinatorics math

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 37. Pascal's Triangle

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers3160

Suggested Problems

More from this Author95

Problem Tags

Community Treasure Hunt

Problem 37. Pascal's Triangle

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers3160

Suggested Problems

More from this Author95

Problem Tags

Community Treasure Hunt

Players