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Search: id:A047304
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| A047304 |
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Numbers that are congruent to {1, 2, 3, 4, 5, 6} mod 7. |
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+0
5
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| 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 64, 65, 66
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Numbers that are not divisible by 7.
This is different from A020658.
More generally the sequence of numbers not divisible by some fixed integer m>=2 is given by a(n,m)=n-1+floor((n+m-2)/(m-1)). [From Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 11 2009]
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FORMULA
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a(n)=n-1+floor((n+5)/6) [From Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 11 2009]
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PROGRAM
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(Other) sage: [i for i in range(67) if gcd(7, i) == 1] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 21 2009]
(PARI) a(n)=n-1+floor((n+5)/6) [From Benoit Cloitre (benoit7848c(AT)orange.fr), Jul 11 2009]
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CROSSREFS
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Sequence in context: A000378 A022551 A020659 this_sequence A020658 A043092 A023801
Adjacent sequences: A047301 A047302 A047303 this_sequence A047305 A047306 A047307
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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