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Search: id:A157609
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| 2640, 5302, 7964, 10626, 13288, 15950, 18612, 21274, 23936, 26598, 29260, 31922, 34584, 37246, 39908, 42570, 45232, 47894, 50556, 53218, 55880, 58542, 61204, 63866, 66528, 69190, 71852, 74514, 77176, 79838, 82500, 85162, 87824, 90486
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OFFSET
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1,1
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COMMENT
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If A=[A157040] 121*n.^2-2*n (119,480,1083,..,); Y=[A157609] 2662*n-22 (2640,5302,7964..,); X=[A157610] 29282*n^2-484*n+1 (28799,116161,262087,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 28799^2-119*26400^2=1; 116161^2-480*5302^2=1; 262087^2-1083*7964^2=1.
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LINKS
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Vincenzo Librandi, X^2-AY^2=1
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=2662*n-22 (n>0)
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EXAMPLE
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For n=1, a(1)=2640; n=2, a(2)=5302; n=3, a(3)=7964
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CROSSREFS
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Cf. A157040, A157610
Sequence in context: A156398 A139675 A020439 this_sequence A167191 A002482 A107532
Adjacent sequences: A157606 A157607 A157608 this_sequence A157610 A157611 A157612
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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 03 2009
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