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Search: id:A138311
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A138311 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. +0
3
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)
OFFSET

1,2

LINKS

Diana Mecum, Table of n, a(n) for n = 1..1000

Leroy Quet, Home Page (listed in lieu of email address)

EXAMPLE

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.

CROSSREFS

Cf. A138309, A138310.

Sequence in context: A131296 A151679 A077664 this_sequence A131717 A084489 A084490

Adjacent sequences: A138308 A138309 A138310 this_sequence A138312 A138313 A138314

KEYWORD

nonn

AUTHOR

Leroy Quet Mar 13 2008

EXTENSIONS

More terms from Diana Mecum (diana.mecum(AT)gmail.com), Jul 21 2008

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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