The Slightly Spooky Recam-n Sequence - Numberphile
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Date: 2022-04-09
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Comments and reviews: 9
leedogification
What isn't explicitly mentioned here is that even though you can't jump backwards to a number that has been used, you CAN jump forwards to a number that has been used. This seems like a very convenient rule put in place just to make a nice pattern, else it would end pretty quickly (on the 24th jump, I believe. Whether all numbers are accounted for is still waiting to be proven, but the pattern will go on forever.
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What isn't explicitly mentioned here is that even though you can't jump backwards to a number that has been used, you CAN jump forwards to a number that has been used. This seems like a very convenient rule put in place just to make a nice pattern, else it would end pretty quickly (on the 24th jump, I believe. Whether all numbers are accounted for is still waiting to be proven, but the pattern will go on forever.
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Arik
So, number can be repeated, but only if second instance of that number is generated by a positive jump. I'm looking you steps: 24, 26, 39, 41.
Also, the plot end at step 65 at point 91 on the number line and the greatest points plotted are 113 and 114.
Can anyone tell me if I am correct on the end point? (I'm sure I'm not the first to figure this out)
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So, number can be repeated, but only if second instance of that number is generated by a positive jump. I'm looking you steps: 24, 26, 39, 41.
Also, the plot end at step 65 at point 91 on the number line and the greatest points plotted are 113 and 114.
Can anyone tell me if I am correct on the end point? (I'm sure I'm not the first to figure this out)
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Chris
Wat surprised me when i programmed this and what is in my opinion not that clear from the video is that one does get the same number multiple times in this sequence. The rule that you cannot take a number that already occurs only applies when going backwards not when going forwards. The first repetition is of the number 42.
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Wat surprised me when i programmed this and what is in my opinion not that clear from the video is that one does get the same number multiple times in this sequence. The rule that you cannot take a number that already occurs only applies when going backwards not when going forwards. The first repetition is of the number 42.
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education
OHH! The musical visualization reminds me of the Shepard Tone illusion. Super Mario 64's Endless Stairs theme is a great effort to put it into a 12 note system and make it sound musical without breaking the illusion. It's a really simple concept, sort of like a spun spiral with each end gradually becoming invisible.
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OHH! The musical visualization reminds me of the Shepard Tone illusion. Super Mario 64's Endless Stairs theme is a great effort to put it into a 12 note system and make it sound musical without breaking the illusion. It's a really simple concept, sort of like a spun spiral with each end gradually becoming invisible.
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Alex
I'm guessing that you will hit every number, but only if the sequence of -gaps- is N and not something like N-4, which will miss most of the numbers. And I am going to guess that the reason this is the case will be related to the divergence of the harmonic series.
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I'm guessing that you will hit every number, but only if the sequence of -gaps- is N and not something like N-4, which will miss most of the numbers. And I am going to guess that the reason this is the case will be related to the divergence of the harmonic series.
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Gustav
This again reminds me of how values of atoms get increase along the periodic table: weird new systems go on for a while, get replaced by others, some long and others short.
I saw something similar in that other episode about -turtles and roses- on polygons.
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This again reminds me of how values of atoms get increase along the periodic table: weird new systems go on for a while, get replaced by others, some long and others short.
I saw something similar in that other episode about -turtles and roses- on polygons.
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Dan
Why am I viewing an idiotic video about one sequence out of a zillion that are being created daily by math wannabe geniuses who have nothing better to do. Why don't you tackle world hunger, or Los Angeles police chases---or are those too difficult for you?
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Why am I viewing an idiotic video about one sequence out of a zillion that are being created daily by math wannabe geniuses who have nothing better to do. Why don't you tackle world hunger, or Los Angeles police chases---or are those too difficult for you?
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Jon
either Aliens are onto us, we're catching up to them, or Mother Earth is the one making the crop circles that strongly resemble this patterning. Might also be fun to juxtapose crop circles into a number line then to melody to see how they sound.
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either Aliens are onto us, we're catching up to them, or Mother Earth is the one making the crop circles that strongly resemble this patterning. Might also be fun to juxtapose crop circles into a number line then to melody to see how they sound.
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minsa
From Wiki: Conjecture - Neil Sloane has conjectured that every number eventually appears, but it has not been proved. Even though 10-15 terms have been calculated (in 2018, the number 852, 655 has not appeared on the list.
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From Wiki: Conjecture - Neil Sloane has conjectured that every number eventually appears, but it has not been proved. Even though 10-15 terms have been calculated (in 2018, the number 852, 655 has not appeared on the list.
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