(11C) Tribonacci Sequence - Printable Version +- HP Forums ( https://www.hpmuseum.org/forum)+-- Forum: HP Software Libraries ( /forum-10.html)+--- Forum: General Software Library ( /forum-13.html)+--- Thread: (11C) Tribonacci Sequence ( /thread-9698.html) |

(11C) Tribonacci Sequence - Gamo - 12-14-2017 12:21 PM
The Tribonacci Sequence is a generalization of the Fibonacci sequence where each term is the sum of the three preceding terms. The sequence begins 0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149,. . . . Input the Nth number Example: 7 A result 24 _______10 A result 149 Code:
Gamo RE: (11C) Tribonacci Sequence - Dieter - 12-14-2017 09:34 PM
(12-14-2017 12:21 PM)Gamo Wrote: The Tribonacci Sequence is a generalization of the Fibonacci sequence where each term is the sum of the three preceding terms. Interesting formula. But implemented waaayyy too complicated. ;-) Actually it's nothing more than u · v ^{n} with u and v being two constants.So what about this one: Code: `LBL C` Or simply... Code: `LBL C` Dieter RE: (11C) Tribonacci Sequence - StephenG1CMZ - 12-15-2017 12:03 AM
I am a little confused as to how a tribonacci sequence can be a generalisation of a Fibonacci - though to be fair Wikipedia also uses that terminology. I'd have thought a tribonacci would be a variation, but an n-bonacci capable of handling any number of summations would be a generalisation. But my main reason for posting isn't to quibble, but to enquire. I always find it helpful to think of applications to help focus upon the maths. Fibonacci always makes me think of rabbits, though I am sure that is not it's only use. Does the Tribonacci sequence have any practical use? RE: (11C) Tribonacci Sequence - Gamo - 12-15-2017 03:23 AM
Here is the detail on Phi and Tribonacci on YouTube. https://youtu.be/e7SnRPubg-g Gamo |