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Search: id:A087642
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| A087642 |
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Sequence of square-free n such that Q(sqrt(n)) has no element with a fully periodical continued fraction of period 1. |
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+0
3
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| 3, 6, 7, 11, 14, 15, 19, 21, 22, 23, 30, 31, 33, 34, 35, 38, 39, 42, 43, 46, 47, 51, 55, 57, 59, 62, 66, 67, 69, 70, 71, 77, 78, 79, 83, 86, 87, 91, 93, 94, 95, 102, 103, 105, 107, 110, 111, 114, 115, 118, 119, 123, 127, 129, 131, 133, 134, 138, 139, 141, 142, 143, 146
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OFFSET
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3,1
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COMMENT
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Diophantine equation x^2 - n.y^2 + 4 = 0 has no solution (x,y) for a given square-free n. Square-free n not in the sequence A013946. Same sequence with square factors allowed is A087643.
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EXAMPLE
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3 is in the sequence because no [k,k,k,k,...] is in Q(sqrt(3))
5 is not in the sequence since Q(sqrt(5)) contains [1,1,1,1,...]
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CROSSREFS
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Cf. A087643, A013946.
Sequence in context: A120511 A022550 A076644 this_sequence A084349 A126003 A047556
Adjacent sequences: A087639 A087640 A087641 this_sequence A087643 A087644 A087645
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KEYWORD
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easy,nonn
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AUTHOR
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Thomas Baruchel (baruchel(AT)users.sourceforge.net), Sep 16 2003
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