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Search: id:A158401
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| 839, 3360, 7563, 13448, 21015, 30264, 41195, 53808, 68103, 84080, 101739, 121080, 142103, 164808, 189195, 215264, 243015, 272448, 303563, 336360, 370839, 407000, 444843, 484368, 525575, 568464, 613035, 659288, 707223, 756840, 808139, 861120
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OFFSET
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1,1
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COMMENT
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If A=[A158401] 841*n.^2-2*n (n>0, 839, 3360, 7563,.,); Y=[A010868] 29 (29, 29, 29, ,.,); X=[A158402] 841*n-1 (n>0, 840, 1681, 2522, .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 840^2-839*29^2=1; 1681^2-3360*29^2=1; 2522^2-7563*29^2=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)=841*n^2-2*n (n>0)
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EXAMPLE
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For n=1, a(1)=839; n=2, a(2)=3360; n=3, a(3)=7563
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CROSSREFS
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Cf. A010868, A158402
Sequence in context: A167603 A118380 A135639 this_sequence A156937 A135640 A095119
Adjacent sequences: A158398 A158399 A158400 this_sequence A158402 A158403 A158404
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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 18 2009
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