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Search: id:A060370
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| A060370 |
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Ratios (p-1)/d, where p is a prime and d is the number of digits of the periodic part of the decimal expansion of 1/p. |
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2
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| 1, 2, 4, 1, 5, 2, 1, 1, 1, 1, 2, 12, 8, 2, 1, 4, 1, 1, 2, 2, 9, 6, 2, 2, 1, 25, 3, 2, 1, 1, 3, 1, 17, 3, 1, 2, 2, 2, 1, 4, 1, 1, 2, 1, 2, 2, 7, 1, 2, 1, 1, 34, 8, 5, 1, 1, 1, 54, 4, 10, 2, 2, 2, 2, 1, 4, 3, 1
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The sequence of 2nd, 4th and following terms coincides with A006556, which gives the "number of different cycles of digits in the decimal expansions of 1/p, 2/p, ..., (p-1)/p where p = n-th prime different from 2 or 5".
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FORMULA
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a(n) = (b(n)-1)/c(n), where b(n) and c(n) are the n-th terms of A000040 and A048595 respectively.
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EXAMPLE
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a(13) = 40/5 = 8, since 41 is the 13th prime and the periodic part of 1/41 = 0,02439024390... consists of 5 digits.
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CROSSREFS
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A000040, A060283, A048595, A006556.
Sequence in context: A004597 A077623 A132042 this_sequence A165064 A021418 A094640
Adjacent sequences: A060367 A060368 A060369 this_sequence A060371 A060372 A060373
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KEYWORD
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nonn,base
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Apr 01 2001
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