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icystrike
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Homework Statement
Can someone explain to me what is this sequence referred in the page?
http://oeis.org/A004730"
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Dick said:Now I'm confused. 4!/5! should be 2*4/(3*5)=8/15. I don't see a 15 in the series.
The A004730 sequence is a mathematical sequence that begins with the number 12 and follows a specific pattern of adding the sum of its digits to the previous number in the sequence. The first few numbers in the sequence are 12, 13, 15, 20, 22, 26, 35, 37, 41, 56, and so on.
The A004730 sequence was discovered by mathematician Neil Sloane in 1973. Sloane is known for his work in the field of combinatorics and is the founder of the Online Encyclopedia of Integer Sequences.
The significance of the A004730 sequence lies in its connection to the Fibonacci sequence, as well as its appearance in various mathematical and scientific phenomena. It also has applications in coding theory and number theory.
The A004730 sequence is related to the Fibonacci sequence through a specific property called the Lucas sequence. The Lucas sequence is created by starting with the numbers 2 and 1, and then adding the previous two numbers to get the next number in the sequence. The A004730 sequence can be seen as a variation of the Lucas sequence, with the initial numbers being 12 and 1 instead of 2 and 1.
Despite extensive research, the meaning behind the A004730 sequence is still not fully understood. Some theories suggest that it may have connections to the golden ratio or be related to the growth of certain biological structures. However, further exploration and analysis are needed to fully uncover its meaning.