View source for Talk:Catalan numbers/Pascal's triangle

===extracting Catalan numbers from Pascal's triangle===

As I understand this task's requirements, the Catalan numbers are to be extracted from Pascal's triangle (and therefore, not be directly computed via binomial coefficients or some other means). &nbsp; Should programming solutions that ''don't'' extract Catalan numbers from Pascal's triangle be flagged as incorrect? -- [[User:Gerard Schildberger|Gerard Schildberger]] ([[User talk:Gerard Schildberger|talk]]) 18:50, 20 October 2014 (UTC)

* The task description references http://milan.milanovic.org/math/english/fibo/fibo4.html.  Both references to the Pascal triangle are like the first one, which observes in effect that the Catalan numbers can be computed as C(2n;n) - C(2n; n-1).   Therefore it seems to me that the question asked by Gerard Shildberger is ill-framed.  That is, specific equations using binomial coefficients are admissible if their connection with Pascal's triangle is established. [[User:Peak|Peak]] ([[User talk:Peak|talk]]) 19:14, 20 October 2014 (UTC)