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Search: id:A157956
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| 201, 401, 601, 801, 1001, 1201, 1401, 1601, 1801, 2001, 2201, 2401, 2601, 2801, 3001, 3201, 3401, 3601, 3801, 4001, 4201, 4401, 4601, 4801, 5001, 5201, 5401, 5601, 5801, 6001, 6201, 6401, 6601, 6801, 7001, 7201, 7401, 7601, 7801, 8001, 8201, 8401, 8601
(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=[A055438] 100*n.^2+n (101, 402, 903,. ,.,); Y=[A010859] 20 (20, 20, 20,. ,.,); X=[A157956] 200*n+1 (201, 401, 601, ,. .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 201^2-101 *20^2=1; 401^2-402*20^2=1; 601^2-903*20^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Wolfram MathWorld, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
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FORMULA
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a(n)=200*n+1
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EXAMPLE
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For n=1, a(1)=201; n=2, a(2)=401; n=3, a(3)=601
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CROSSREFS
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Cf. A055438, A010859
Sequence in context: A098963 A107843 A076192 this_sequence A061697 A167070 A166505
Adjacent sequences: A157953 A157954 A157955 this_sequence A157957 A157958 A157959
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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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