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Search: id:A158402
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| 840, 1681, 2522, 3363, 4204, 5045, 5886, 6727, 7568, 8409, 9250, 10091, 10932, 11773, 12614, 13455, 14296, 15137, 15978, 16819, 17660, 18501, 19342, 20183, 21024, 21865, 22706, 23547, 24388, 25229, 26070, 26911, 27752, 28593, 29434
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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-1 ((n>0)
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EXAMPLE
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For n=1, a(1)=840; n=2, a(2)=1681; n=3, a(3)=2522
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CROSSREFS
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Cf. A010868, A158401
Sequence in context: A068546 A033269 A092002 this_sequence A045477 A005952 A135038
Adjacent sequences: A158399 A158400 A158401 this_sequence A158403 A158404 A158405
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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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