Author Topic: Catalan Number  (Read 9926 times)

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Offline fb39ca4

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Re: Catalan Number
« Reply #15 on: February 21, 2011, 11:27:41 am »
To calculate bigger numbers, you could have the program simplify the expression before actually computing it.

Offline phenomist

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Re: Catalan Number
« Reply #16 on: February 21, 2011, 07:39:28 pm »
BTW, on the subject of negative Fibonacci numbers, they do exist. Just reverse the recursion (F_n+F_{n+1} = F_{n+2}) => (F_{n-2} = F_n-F_{n-1}) and it works.

(Though they aren't terribly interesting: F_{-i} = -F_i * (-1)^i, so the negativeth Fibonacci number is either the negation of or equal to the positiveth Fibonacci number)
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Offline leafy

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Re: Catalan Number
« Reply #17 on: February 21, 2011, 07:51:15 pm »
Of course phenomist would know about this stuff.
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Offline Munchor

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Re: Catalan Number
« Reply #18 on: February 24, 2011, 12:31:26 pm »
Of course phenomist would know about this stuff.

lol

BTW, on the subject of negative Fibonacci numbers, they do exist. Just reverse the recursion (F_n+F_{n+1} = F_{n+2}) => (F_{n-2} = F_n-F_{n-1}) and it works.

(Though they aren't terribly interesting: F_{-i} = -F_i * (-1)^i, so the negativeth Fibonacci number is either the negation of or equal to the positiveth Fibonacci number)

Yeah, there's not much interest there, but thanks :D

Offline Munchor

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Re: Catalan Number
« Reply #19 on: February 26, 2011, 02:18:18 am »
I know I'm abusing this Catalan Number thing, but it's great to learn new things about languages, so I made it Java GUI using Awt and Swing.