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Search: id:A158221
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| 170, 339, 508, 677, 846, 1015, 1184, 1353, 1522, 1691, 1860, 2029, 2198, 2367, 2536, 2705, 2874, 3043, 3212, 3381, 3550, 3719, 3888, 4057, 4226, 4395, 4564, 4733, 4902, 5071, 5240, 5409, 5578, 5747, 5916, 6085, 6254, 6423, 6592, 6761, 6930, 7099, 7268
(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=[A158220] 169*n.^2+2*n (n>0g 171, 680, 1527, , ,.,); Y=[A010852] 13 (13, 13, 13,.,); X=[A158221] 169*n+1 (n>0, 170, 339, 508, , .,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 170^2-171*13^2=1; 339^2-680*13^2=1; 508^2-1527*13^2=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)=169*n+1 (n>0)
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EXAMPLE
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For n=1, a(1)=170; n=2, a(2)=339; n=3, a(3)=508
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CROSSREFS
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Cf. A010852, A158220
Sequence in context: A043746 A043762 A043771 this_sequence A067781 A031601 A043344
Adjacent sequences: A158218 A158219 A158220 this_sequence A158222 A158223 A158224
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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 14 2009
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