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Search: id:A157613
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| 2684, 5346, 8008, 10670, 13332, 15994, 18656, 21318, 23980, 26642, 29304, 31966, 34628, 37290, 39952, 42614, 45276, 47938, 50600, 53262, 55924, 58586, 61248, 63910, 66572, 69234, 71896, 74558, 77220, 79882, 82544, 85206, 87868, 90530
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OFFSET
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1,1
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COMMENT
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If A=[A031689] 121*n.^2+2*n (n>0) (123,488,1095,..,); Y=[A157613] 2662*n+22 (2684, 5346, 8008..,); X=[A157614] 29282*n^2+484*n+1 (29767, 118097, 264991,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 29767^2-123*2684^2=1; 118097^2-488*5346^2=1; 264991^2-1095*8008^2=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)=2684; n=2, a(2)=5346; n=3, a(3)=8008
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CROSSREFS
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Cf. A031689, A157614
Sequence in context: A123075 A112138 A166513 this_sequence A020424 A111027 A115930
Adjacent sequences: A157610 A157611 A157612 this_sequence A157614 A157615 A157616
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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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