Can someone help me, I’m looking for named number sequences such Pi, Prime, etc. Even the obscure ones.
Thank you.
~Jain
We could start of with Fibonacci numbers, then follow with
http://en.wikipedia.org/wiki/Fibonacci_number
the various kinds of primes.
http://en.wikipedia.org/wiki/Primes#Special_types_of_primes
You could probably start from here and spread outwards.
A famous one is the Fibonacci Series. It’s a specific example of an infinite number of series constructed in the same way.
Oops. beaten. Remember that both the odd numbers and the even numbers are sequences. So are the squares, the cubes, and all the other power sequences.
Pi is a number or a ratio, but isn’t a sequence. It can be constructed by use of an infinite sequence but so can any* number. Even 1.
- I think “any”. I’m sure people will correct if there are exceptions.
You may also want to look at ‘e’ and ‘irrational numbers’. While you’re googling, typing the ‘interesting numbers’ will bring up the ‘interesting number paradox’, which is also interesting.
I thought of the Fibonacci Series, but it seems some people consider it starting with 1 and some 0, so unless I’m mistaken about that, the FS won’t work for my purpose.
Regarding the PI isn’t a sequence thing, I should clarify - I can use numbers and ratios as well. Sorry I wasn’t clear - I don’t really know a lot about this stuff obviously!
The On-Line Encyclopedia of Integer Sequences error
This no longer makes sense. You can use numbers? 45, 49, 3452, 24545, 45663767, 6747529879769876598597856.
Wouldn’t it help a whole lot to explain what you want to use these for?
“Number” as you defined Pi. I’m putting together a series of puzzles and I need the name of a particular set of numbers as an overall clue. So for example if the number in the puzzle was “9” my sub-set clue would be 6 (the sixth number in Pi is 9).
Thanks for your help, again sorry for being unclear.
No, that still doesn’t make any sense. Explain to us exactly how your puzzle will work. I don’t think the clues will give the answers in the way you want.
I think that, by referring to pi as a sequence, she means the sequence of the base-10 digits of pi.
I think the problem is that you guys are too smart, this is pretty simple.
Say the number I want someone to end up with is 956. The overall hint is (for example) pie (Pi). The sub hint is 698 (sixth number of pie, ninth number of pie, eighth number of pie). So what I’m looking for are some named sequences of numerals to give as base clues.
There’s the perfect numbers, where every number is equal to the sum of its divisors (excluding itself): 6, 28, 496, 8128, 33550336, …
I just saw that Wikipedia has a whole bunch of named series:
Abundant numbers
Achilles numbers
Almost perfect numbers
Amicable numbers
Colossally abundant numbers
Composite numbers
Deficient numbers
Equidigital numbers
Extravagant numbers
Friendly numbers
Frugal numbers
Harmonic divisor numbers
Highly abundant numbers
Highly composite numbers
Hyperperfect numbers
Multiply perfect numbers
Perfect numbers
Powerful numbers
Practical numbers
Prime numbers
Primitive semiperfect numbers
Quasiperfect numbers
Semiperfect numbers
Sociable numbers
Solitary numbers
Square-free numbers
Sublime numbers
Superabundant numbers
Superior highly composite numbers
Superperfect numbers
Unitary perfect numbers
Untouchable numbers
Weird numbers
Respectfully, I think the problem was that you didn’t clearly say what you meant.
Holy shit! Check out this sequence
First, it’s never spelled “pie.” It’s spelled “pi.” Second, this really isn’t a good puzzle. So you start by saying, "The overall clue is “Pi.” The subhint is “698.”
So the person who’s guessing says, “Huh?”.
You say, “The answer is ‘956.’ Get it? Pi equals 3.1415926535… The sixth digit of pi is 9, the ninth digit of pi is 5, and the eighth digit of pi is 6.”
They say, “O.K., what the next overall clue and subhint?”
You say, "The overall clue is “Prime.” The subhint is “412.”
They say, “So the answer is “723.” That’s not a puzzle. All I have to do is look up the sequence and look for the digits. Since the prime numbers are 2, 3, 5, 7, …, the answer is obviously “723.” So what? There’s no puzzle there. It’s just about looking up sequences.”
The puzzle is figuring out that being told “pie” and “698” means that you need the sixth, ninth and eighth digits of pi. I don’t like puzzles like this, but it wouldn’t be at all out of place in certain types of games.
phi
Yep, not a super clever puzzle but it suits this purpose. Thanks all - especially Little Nemo.
Now that’s a good one!
The word “series” is being misused throughout this thread when the word “sequence” is what is meant. The difference is that a sequence is an ordered set of numbers and a series is an ordered sum of numbers.
Oh c’mon. Even though I just made this distinction this week to 130 calculus studetns, I think you are being a bit pedantic for the context of this thread. Series was only used to mean sequence twice in this thread anyway.