Uncovering the Mystery: Decoding a Unique Integer Sequence

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In summary: The On-Line Encyclopedia of Integer Sequences (or OEIS) a place where one can search for such sequences.It might even provide a clue to how such sequences arise... especially since the OP didn't provide much of a clue.
  • #1
beamthegreat
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I believe I have created an integer sequence that is truly unique. I would appreciate it if someone could try to solve this.

Here is the first 89 integers of this sequence: 1,0,1,1,1,1,1,2,2,3,0,1,0,3,0,3,0,5,2,3,1,0,1,3,1,3,1,6,4,9,4,5,4,9,4,9,4,13,8,5,1,0,1,5,1,5,1,10,6,13,6,7,6,13,6,13,6,19,12,7,1,0,1,7,1,7,1,14,8,25,16,17,16,25,16,25,16,33,24,18,10,9,10,18,10,18,10,27,19 Here is a graph of this sequence:
Screen Shot 2022-05-11 at 04.53.01.png
 
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  • #2
What makes an integer sequence unique?
 
  • #3
beamthegreat said:
I believe I have created an integer sequence that is truly unique. I would appreciate it if someone could try to solve this.

Here is the first 89 integers of this sequence: 1,0,1,1,1,1,1,2,2,3,0,1,0,3,0,3,0,5,2,3,1,0,1,3,1,3,1,6,4,9,4,5,4,9,4,9,4,13,8,5,1,0,1,5,1,5,1,10,6,13,6,7,6,13,6,13,6,19,12,7,1,0,1,7,1,7,1,14,8,25,16,17,16,25,16,25,16,33,24,18,10,9,10,18,10,18,10,27,19
What is the prize?

I can create a random sequence as well, so what's the point? Are you saying that you used some generator function that if we're smart enough we should be able to figure it out? Can you at least bound the problem? How many terms did you use in your generator function? If you used 20 terms, it will be a waste of my time, no?
 
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  • #4
So, you are not interested in finding out if your pattern is unique to your particular creation algorithm, right? If the pattern is NOT unique, you don't care, you just want to see if we can identify the pattern.
 
  • #5
Using the first 10
https://oeis.org/search?q=1,0,1,1,1,1,1,2,2,3&sort=&language=english&go=SearchHmmm..
let me come up with another integer sequence that is truly unique
7 15 22 36 64 13 6 40 41 45 52 9 5 7 61 63 69 18 18 30 35 52 56 5 4 5 6 28 67 10 37 39 55 63 69 23 18 27 33 39 44 8
...this one is finite... but could become countably infinite...
building the sequence by prepending, rather than appending.
Generating this integer sequence might also be of value.

Here's a search on a subset https://www.google.com/search?q=6+40+41+45+52+9
 
  • #7
DaveE said:
Um, what's the point here? It doesn't match the 11th term. Am I missing something?
The On-Line Encyclopedia of Integer Sequences (or OEIS) a place where one can search for such sequences.
It might even provide a clue to how such sequences arise
... especially since the OP didn't provide much of a clue.

If the OP's sequence is "of general interest", it can be contributed.
 
  • #8
beamthegreat said:
Here is the first 89 integers of this sequence: 1,0,1,1,1,1,1,2,2,3,0,1,0,3,0,3,0,5,2,3,1,0,1,3,1,3,1,6,4,9,4,5,4,9,4,9,4,13,8,5,1,0,1,5,1,5,1,10,6,13,6,7,6,13,6,13,6,19,12,7,1,0,1,7,1,7,1,14,8,25,16,17,16,25,16,25,16,33,24,18,10,9,10,18,10,18,10,27,19

Here is a graph of this sequence:
I do not think so. :confused:

For example, your sequence contains a whole pile of zeroes, and yet nary-a-one appears in your graph. There's a big problem with the resolution.

beamthegreat said:
1652799208245.png
 
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  • #9
Well, the OP hasn't been here since the post. One can question if even he is interested.
 
  • #10
The OP's horizontal axis is also shifted or mislabeled.
1652800315804.png
 

1. Can you explain what a pattern is?

A pattern is a repeated sequence or design that can be observed in various objects or phenomena. It is a fundamental concept in science and helps us understand and predict the world around us.

2. How do you identify a pattern?

To identify a pattern, you need to observe multiple instances of a phenomenon and look for similarities or repetitions. These repetitions can be in terms of shape, color, size, or any other characteristic. It is also important to consider the context and purpose of the pattern.

3. Why is finding patterns important in science?

Finding patterns is important in science because it allows us to make predictions, understand relationships between different variables, and develop theories and models to explain natural phenomena. It also helps us organize and interpret large amounts of data.

4. Can patterns change over time?

Yes, patterns can change over time. Some patterns may be constant, while others may evolve or shift depending on various factors such as environmental changes, genetic mutations, or human interventions. This is why it is important to continue studying patterns and adapting our understanding as new information is discovered.

5. How can finding patterns lead to new discoveries?

Finding patterns can lead to new discoveries by allowing scientists to make connections between seemingly unrelated phenomena. By identifying patterns, scientists can generate new hypotheses and conduct experiments to test them, leading to new insights and discoveries in various fields of science.

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