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Search: id:A157960
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| 120, 482, 1086, 1932, 3020, 4350, 5922, 7736, 9792, 12090, 14630, 17412, 20436, 23702, 27210, 30960, 34952, 39186, 43662, 48380, 53340, 58542, 63986, 69672, 75600, 81770, 88182, 94836, 101732, 108870, 116250, 123872, 131736, 139842
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OFFSET
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1,1
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COMMENT
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If A=[A157960] 121*n.^2-n (120, 482, 1086,. ,.,); Y=[A010861] 22 (22, 22, 22,..,); X=[A157961] 242*n-1 (241, 483, 725, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 241^2-120 *22^2=1; 483^2-482*22^2=1; 725^2-1086*22^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=121*n^2-n (n>0)
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EXAMPLE
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For n=1, a(1)=120; n=2, a(2)=482; n=3, a(3)=1086
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CROSSREFS
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Cf. A010861, A157961
Sequence in context: A147983 A167562 A033697 this_sequence A067915 A115619 A152622
Adjacent sequences: A157957 A157958 A157959 this_sequence A157961 A157962 A157963
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KEYWORD
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nonn
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AUTHOR
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Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 10 2009
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