Post Reply 
Pascal's triangle
09-01-2015, 01:11 PM (This post was last modified: 09-01-2015 01:36 PM by roadrunner.)
Post: #1
Pascal's triangle
Function pascal(x) returns a level of Pascal's triangle.

Example:

pascal(7) returns {1,7,21,35,35,21,7,1}
the 7th level of Pascal's triangle

Code:
#pragma mode(separator(.,;) integer(h32))

EXPORT pascal(x)
BEGIN
 case
  if x < 1 then {1};end;
  if x < 2 then {1,1}; end;
 default
  concat(1,execon("&1+&2",pascal(x−1)),1);
 end;
END;
Find all posts by this user
Quote this message in a reply
09-01-2015, 04:30 PM
Post: #2
RE: Pascal's triangle
Isn't {1,7,21,35,35,21,7,1} the 8th line?
Find all posts by this user
Quote this message in a reply
09-02-2015, 01:15 AM
Post: #3
RE: Pascal's triangle
(09-01-2015 04:30 PM)Gerald H Wrote:  Isn't {1,7,21,35,35,21,7,1} the 8th line?

Here: http://ptri1.tripod.com/ they start counting with row zero, making {1,7,21,35,35,21,7,1} row 7. But Blaise Pascal himself, it seems, would have agreed with you: https://en.wikipedia.org/wiki/Pascal%27s...Pascal.jpg

-road
Find all posts by this user
Quote this message in a reply
09-02-2015, 02:58 PM
Post: #4
RE: Pascal's triangle
Alternative method, using a single expression:
pcoeff(makemat(-1,j,1)) --> jth row of Pascal's Triangle
Works both in Home and CAS.

<0|ɸ|0>
-Joe-
Visit this user's website Find all posts by this user
Quote this message in a reply
Post Reply 




User(s) browsing this thread: