Pascal's Triangle

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Hi Matilda,

My ignorance of the mathematical properties of Pascal's 
Triangle might make me overlook a much easier way to do this, 
but my first brute force thought was to use a list to store 
each level of the triangle (i.e. a list of vectors). You can 
then use the values of the previous level to calculate the 
values of the next level.

Then it should just be a matter of formatting using spaces or 
tabs and printing each level (vector) in the list. There may 
be some nuances to this depending how you want it to look, but 
nothing a little trial and error and Googling can't solve.

HTH,

Jason

---- Original message ----
Date: Tue, 27 Dec 2011 23:14:27 -0500
From: r-help-bounces at r-project.org (on behalf of "Matilda E. 
Gogos" <matildaelizabethv at gmail.com>)
Subject: [R] Pascal's Triangle  
To: r-help at r-project.org

Hello,

Looking to generate Pascal's triangle in R. How do I get 
started? Thanks,
-- 
Matilda Gogos
matildaelizabethv at gmail.com

[[alternative HTML version deleted]]

______________________________________________
R-help at r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-
project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible 
code.
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Oh and also, if it makes sense, you can use n choose k ( 
choose() ) to calculate each element of the triangle if you 
don't want to deal with indicies, addition, etc.

Jason

---- Original message ----
Date: Wed, 28 Dec 2011 03:42:11 -0600 (CST)
From: r-help-bounces at r-project.org (on behalf of "Jason J. 
Pitt" <pittjj at uchicago.edu>)
Subject: Re: [R] Pascal's Triangle  
To: "Matilda E. Gogos" <matildaelizabethv at gmail.com>, r-
help at r-project.org
Hi Matilda,

My ignorance of the mathematical properties of Pascal's 
Triangle might make me overlook a much easier way to do this, 
but my first brute force thought was to use a list to store 
each level of the triangle (i.e. a list of vectors). You can 
then use the values of the previous level to calculate the 
values of the next level.

Then it should just be a matter of formatting using spaces or 
tabs and printing each level (vector) in the list. There may 
be some nuances to this depending how you want it to look, 
but
nothing a little trial and error and Googling can't solve.

HTH,

Jason

---- Original message ----
Date: Tue, 27 Dec 2011 23:14:27 -0500
From: r-help-bounces at r-project.org (on behalf of "Matilda E. 
Gogos" <matildaelizabethv at gmail.com>)
Subject: [R] Pascal's Triangle  
To: r-help at r-project.org

Hello,

Looking to generate Pascal's triangle in R. How do I get 
started? Thanks,
-- 
Matilda Gogos
matildaelizabethv at gmail.com

[[alternative HTML version deleted]]

______________________________________________
R-help at r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-
project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible 
code.

______________________________________________
R-help at r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-
project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible 
code.
n <- 5
PascalsTriangle <- vector('list', n)
PascalsTriangle[[1]] <- 1
for(i in 2:n){
     x0 <- PascalsTriangle[[i-1]]
     x01 <- c(0, x0)
     x10 <- c(x0, 0)
     PascalsTriangle[[i]] <- x01+x10
}

I hope I'm not doing a homework problem.

Spencer
Oh and also, if it makes sense, you can use n choose k (
choose() ) to calculate each element of the triangle if you
don't want to deal with indicies, addition, etc.

Jason

---- Original message ----
Date: Wed, 28 Dec 2011 03:42:11 -0600 (CST)
From: r-help-bounces at r-project.org (on behalf of "Jason J.
Pitt"<pittjj at uchicago.edu>)
Subject: Re: [R] Pascal's Triangle
To: "Matilda E. Gogos"<matildaelizabethv at gmail.com>, r-
help at r-project.org
Hi Matilda,

My ignorance of the mathematical properties of Pascal's
Triangle might make me overlook a much easier way to do this,
but my first brute force thought was to use a list to store
each level of the triangle (i.e. a list of vectors). You can
then use the values of the previous level to calculate the
values of the next level.

Then it should just be a matter of formatting using spaces or
tabs and printing each level (vector) in the list. There may
be some nuances to this depending how you want it to look,
but
nothing a little trial and error and Googling can't solve.

HTH,

Jason

---- Original message ----
Date: Tue, 27 Dec 2011 23:14:27 -0500
From: r-help-bounces at r-project.org (on behalf of "Matilda E.
Gogos"<matildaelizabethv at gmail.com>)
Subject: [R] Pascal's Triangle
To: r-help at r-project.org

Hello,

Looking to generate Pascal's triangle in R. How do I get
started? Thanks,
--
Matilda Gogos
matildaelizabethv at gmail.com

	[[alternative HTML version deleted]]

______________________________________________
R-help at r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-
project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible
code.

______________________________________________
R-help at r-project.org mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.

Spencer Graves, PE, PhD
President and Chief Technology Officer
Structure Inspection and Monitoring, Inc.
751 Emerson Ct.
San Jos?, CA 95126
ph:  408-655-4567
web:  www.structuremonitoring.com