[seqfan] Re: A happy chat with my favorite AI.
Brendan McKay
Brendan.McKay at anu.edu.au
Sun Jan 29 12:59:34 CET 2023
Oliver is quite right to curtail the chatbot thread, but I can't stop
myself from posting ChatGPT's response to my request "write a poem about
the Online Encyclopedia of Integer Sequences". I didn't make this up,
honest. Brendan ------------------
The OEIS, a treasure trove untold, A wealth of numbers, young and old,
From simple sums to sequences strange, It holds them all, a vast exchange.
A place where mathematicians meet, To study patterns, incomplete, To
fill in gaps and make them whole, A story waiting to unfold.
With every sequence, a new tale, Of sequences ascending, never pale,
From Fibonacci to prime scores, The OEIS forever endures.
It's a never-ending work of art, A contribution from every heart, Built
by those who love to delve, Into the mysteries of integers they help.
So let us raise a glass and cheer, To the OEIS, year after year, May it
always be a source of light, In the world of mathematics, shining bright.
On 29/1/2023 7:45 pm, Simon Plouffe wrote:
>
>
> Hello,
> Good morning,
> I had the same experience with the question 'give me some song lyrics
> inspired by Brassens or Jacques Brel.
> The answers are quite bad, they are strictly literal without any rhyme
> or inspiration. We are very far from perceiving any subtlety. It's
> only copy and paste of the lyrics of these authors. This intelligence
> is far from being completed and is very superficial and especially
> artificial.
>
> Best regards,
> Simon Plouffe
>
>
> Le 2023-01-28 à 14:39, Peter Luschny a écrit :
>> This chat took place on 27. Jan. 2023 with YOU, an AI search
>> engine. YOU gave many more references, the list given at the
>> end is greatly shortened.
>>
>> * There is a database called the Online Encyclopedia of Integer
>> sequences. Can you give me an interesting sequence from the OEIS?
>>
>> ** Sure! One interesting sequence from the OEIS is the Fibonacci
>> sequence, which is a sequence of numbers where each number is
>> the sum of the two preceding numbers, starting with 0 and 1.
>> The Fibonacci sequence looks like this:
>> 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
>>
>> * Thanks. Can you also give me an interesting integer sequence
>> which is not in the OEIS?
>>
>> ** Sure! One interesting sequence that is not in the OEIS is the
>> Tribonacci sequence, which is a sequence of numbers where each
>> number is the sum of the three preceding numbers, starting with
>> 0, 0, and 1. The Tribonacci sequence looks like this:
>> 0, 0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, ...
>>
>> * This is not true. This is sequence A000073 in the OEIS.
>>
>> ** That is correct, sequence A000073 is the Tribonacci sequence
>> and it is indeed in the OEIS.
>>
>> * Well then, please give me an interesting integer sequence
>> which is not in the OEIS.
>>
>> ** Sure! One interesting sequence that is not in the OEIS is
>> the Happy Number sequence, which is a sequence of numbers
>> where each number is the sum of the squares of the digits
>> of the preceding number, starting with 7.
>> The Happy Number sequence looks like this:
>> 7, 49, 97, 130, 10, 1, 1, 4, 16, 37, 58, 89, 145, 42, 20, 4, 16, ...
>>
>> * Indeed, this sequence is not in the OEIS. But why is this
>> sequence interesting?
>>
>> ** The Happy Number sequence is interesting because it is an
>> example of a mathematical property called the Collatz Conjecture.
>> The Collatz Conjecture states that no matter which starting
>> number you choose, the sequence will always eventually reach
>> the number 1. This sequence is also interesting due to its
>> unpredictable nature and its ability to generate a seemingly
>> random pattern of numbers.
>>
>> * Can you give me a formula for this sequence?
>>
>> ** The Happy Number sequence is based on the following formula:
>> If si = 1 for some i>=1, then the original integer s0 is said
>> to be happy [1]. If Si = 4 for some i>=1, then the original
>> integer s0 is said to be unhappy [1]. Otherwise, define
>> s{i+1} = \sum{k=0}^m si^2, where m is the number of digits in si.
>> This formula can be used to determine whether a given number
>> is happy or unhappy. If the sequence reaches 1, then the number
>> is said to be happy. If the sequence reaches 4, then the number
>> is said to be unhappy.
>>
>> * Well, can you give me your source of this formula?
>>
>> ** The source for the Happy Number Sequence is the work of American
>> mathematician, Edward Kasner and his nephew, James Newman.
>> In their book, Mathematics and the Imagination, they described
>> the "Happy Number" sequence as a sequence of numbers in which
>> each number is the sum of the squares of its digits.
>>
>> * I thought it was Donald Knuth who invented this sequence?
>>
>> ** Yes, you are correct. The Happy Number Sequence was invented
>> by American mathematician Edward Kasner and his nephew James
>> Newman, although it was popularized by Donald Knuth in his book,
>> The Art of Computer Programming [1][2].
>>
>> * OK, but why is this interesting sequence not in the OEIS?
>>
>> ** The Happy Number Sequence is not included in the On-Line
>> Encyclopedia of Integer Sequences (OEIS) because it is not
>> considered an integer sequence. The OEIS is a database of
>> integer sequences, defined as sequences of integers whose
>> terms either increase or decrease in a fixed, predictable manner.
>> The Happy Number Sequence does not meet this definition, as
>> its terms are determined by a complex algorithm and do not
>> follow a predictable pattern.
>>
>>
>> [1] Happy Number -- from Wolfram MathWorld
>> https://mathworld.wolfram.com/HappyNumber.html
>> SEQUENCE function in Excel - auto generate number series
>> https://www.ablebits.com/office-addins-blog/sequence-function-excel-auto-generate-number-series/
>>
>> Confirmation Bias & Wason (1960) 2-4-6 Task
>> http://www.devpsy.org/teaching/method/confirmation_bias.html
>> Show Me the Science - How to Wash Your Hands | Handwashing ...
>> https://www.cdc.gov/handwashing/show-me-the-science-handwashing.html
>> Quiz #2 : Academic Honesty Policy : Academic Honesty : University ...
>> https://www.rochester.edu/college/honesty/policy/quiz2.html
>> How to find, highlight and label a data point in Excel scatter plot
>> https://www.ablebits.com/office-addins-blog/find-data-point-excel-scatter-graph/
>>
>> [1]. The Computer Scientist Who Can't Stop Telling Stories | Quanta ...
>> https://www.quantamagazine.org/computer-scientist-donald-knuth-cant-stop-telling-stories-20200416/
>>
>> [2]. Donald Knuth: Geek of the Week - Simple Talk
>> https://www.red-gate.com/simple-talk/opinion/geek-of-the-week/donald-knuth-geek-of-the-week/
>>
>> Mathematical Writing by Donald E. Knuth, Tracy Larrabee, and Paul ...
>> https://jmlr.csail.mit.edu/reviewing-papers/knuth_mathematical_writing.pdf
>>
>>
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