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Search: id:A141389
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| A141389 |
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a(n)=successive rank in A000040 of primes deleted from the working sequence sequence according to the their rank in that sequence equal to the numeral root of the value of the previous deleted prime. The working sequence is A000040 deprived progressiveley of these deleted terms. |
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1
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| 2, 4, 9, 7, 12, 1, 5, 6, 11, 13, 15, 8, 3, 18, 21, 10, 16, 25, 24, 27, 20, 29, 14, 30, 26, 19, 28, 35, 32, 33, 22, 38, 17, 37, 36, 42, 23, 34, 41, 47
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If, as seems quite probable, all the digits 1 to 9 are infinitely repeated in the sequence of natural roots of prime numbers, all the terms of A000040 are progressively deleted,hence the submitted sequence shoild be a permutation of natural numbers.
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FORMULA
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The numeral root of A000040(1)=P(1) being equal to 2,we delete from this sequence p(2)=3 and give the value 2 to a(1)
The numeral root of the first term deleted being 3,the second term we delete from the working sequence is the third one, i.e 7, whose rank in A000040 is 4. Hence a(2)=4
The numeral root of the second term deleted being 7, we delete from the working sequence its 7th term, i.e 23, whose rank in A000040 is 9; hence a(3)=9; and so forth
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EXAMPLE
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The numeral root of the 3rd term deleted (23), being 5, we delete from the working sequence the 5th term, i.e 17, whose rank in A000040 is 7, value that we give to a(4)
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CROSSREFS
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Cf. A000040.
Sequence in context: A011182 A063507 A055858 this_sequence A133757 A076125 A011033
Adjacent sequences: A141386 A141387 A141388 this_sequence A141390 A141391 A141392
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KEYWORD
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easy,nonn
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AUTHOR
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Philippe Lallouet (philip.lallouet(AT)orange.fr), Aug 03 2008
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