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Search: id:A138311
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| A138311 |
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a(1)=1. a(n) = smallest positive integer not occurring among the first n-1 terms of the sequence that is coprime to every (nonzero) exponent in the prime factorization of n. |
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+0
3
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| 1, 2, 3, 5, 4, 6, 7, 8, 9, 10, 11, 13, 12, 14, 15, 17, 16, 19, 18, 21, 20, 22, 23, 25, 27, 24, 26, 29, 28, 30, 31, 32, 33, 34, 35, 37, 36, 38, 39, 40, 41, 42, 43, 45, 47, 44, 46, 49, 51, 53, 48, 55, 50, 52, 54, 56, 57, 58, 59, 61, 60, 62, 63, 65, 64, 66, 67, 69, 68, 70, 71, 73
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Diana Mecum, Table of n, a(n) for n = 1..1000
Leroy Quet, Home Page (listed in lieu of email address)
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EXAMPLE
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12 has the prime-factorization of 2^2 * 3^1. The positive integers that don't occur among the first 11 terms of the sequence are 12,13,14,15,16,... Of these integers, 13 is the smallest that is coprime to the exponents in the prime factorization of 12 (ie coprime to 2 and 1). So a(12) = 13.
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CROSSREFS
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Cf. A138309, A138310.
Sequence in context: A131296 A151679 A077664 this_sequence A131717 A084489 A084490
Adjacent sequences: A138308 A138309 A138310 this_sequence A138312 A138313 A138314
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Mar 13 2008
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EXTENSIONS
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More terms from Diana Mecum (diana.mecum(AT)gmail.com), Jul 21 2008
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