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Search: id:A077199
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| A077199 |
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Smallest k such that k and k+n both are square-free. |
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1
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| 2, 3, 2, 3, 2, 5, 3, 2, 2, 3, 2, 2, 2, 3, 2, 3, 2, 3, 2, 2, 2, 7, 6, 2, 5, 3, 2, 3, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 5
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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If a(r) = 3 or 7 then a(r+1) = 2 or 6 respectively. Conjecture: every member is <10. i.e. For every n at least one of the numbers n+2,n+3,n+5,n+6 or n+7 is square-free.
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EXAMPLE
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a(12) = 2 as 2+12 = 14 is square-free.
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CROSSREFS
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Sequence in context: A046215 A057019 A084740 this_sequence A064652 A077600 A120223
Adjacent sequences: A077196 A077197 A077198 this_sequence A077200 A077201 A077202
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 01 2002
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