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Search: id:A162924
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| A162924 |
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Denominators of fractions converging to square root 3 satisfying: a(n)=1/a(n-1)+1/a(n-2)+ 1/a(n-3) or numerators of reciprocal satisfying: a(n)=1/(a(n-1)+ a(n-2)+ a(n-3)) with a(1,2,3)= 1 |
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+0
2
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OFFSET
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1,5
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COMMENT
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For other square roots of positive integers add or substract more a(n)to formula and start off.
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EXAMPLE
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For n=5 a(5)= 1/1 + 1/1 + 1/3 = 7/3 (denominator) For n=5 a(5)= 1/(1 + 1 + 1/3) = 3/7 (numerator)
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CROSSREFS
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For square root 2: A066932, A057677
Sequence in context: A012044 A098918 A001699 this_sequence A057600 A079269 A127104
Adjacent sequences: A162921 A162922 A162923 this_sequence A162925 A162926 A162927
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KEYWORD
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nonn
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AUTHOR
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M. Dols (markdols99(AT)yahoo.com), Jul 17 2009
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