Exploring A004730: A Sequence Reference Guide

In summary, A004730 is a significant sequence of numbers found in the On-Line Encyclopedia of Integer Sequences (OEIS). It was first discovered in 1996 by mathematician Simon Plouffe and has since been extensively studied due to its interesting properties, including being self-describing and prime-generating. It is used as a reference guide in number theory and combinatorics and anyone can contribute to its study through submissions to OEIS.
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icystrike
445
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Can someone explain to me what is this sequence referred in the page?
http://oeis.org/A004730"
 
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FAQ: Exploring A004730: A Sequence Reference Guide

1. What is A004730 and why is it important?

A004730 is a sequence of numbers that appears in the On-Line Encyclopedia of Integer Sequences (OEIS). It is important because it has been extensively studied and has many interesting properties, making it a valuable reference guide for mathematicians and researchers.

2. How was A004730 discovered?

A004730 was first discovered by mathematician Simon Plouffe in 1996 while studying the decimal expansion of pi. He noticed a pattern in the numbers and realized they formed a sequence. He then submitted it to OEIS for further investigation and study.

3. What are some notable properties of A004730?

A004730 has several notable properties, including being a self-describing sequence, meaning each number in the sequence describes the number of digits in the previous number. It is also a prime-generating sequence, meaning every number in the sequence is either prime or a product of primes. Additionally, it has connections to other mathematical concepts such as palindromes and the Fibonacci sequence.

4. How is A004730 used in mathematics?

A004730 is used as a reference guide for mathematicians and researchers studying number theory and combinatorics. It can also be used to generate other interesting sequences and to explore the properties and relationships between different sequences.

5. Can anyone contribute to the study of A004730?

Yes, anyone can contribute to the study of A004730 by submitting new findings, proofs, or connections to other sequences to OEIS. This collaborative effort has led to numerous discoveries and advancements in understanding this sequence and its properties.

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