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Search: id:A157787
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| A157787 |
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a(n)=8984250*n-2515920 (n>0) |
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+0
3
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| 6468330, 15452580, 24436830, 33421080, 42405330, 51389580, 60373830, 69358080, 78342330, 87326580, 96310830, 105295080, 114279330, 123263580, 132247830, 141232080, 150216330, 159200580, 168184830, 177169080, 186153330, 195137580
(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=[A157786] 27225*n.^2-15248*n +2135 (14112, 80539, 201416,.,); Y=[A157787] 8984250*n -2515920 (6468330, 15452580,..,); X=[A157770] 1482401250*n^2-830253600*n +116250751 (768398401, 4385348551,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 768398401^2-14112 *6468330^2=1; 4385348551^2-80539*15452580^2=1.
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LINKS
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Vincenzo Librandi, X^2-AY^2=1
Edward Everett Withford, Pell Equation
Wolfram MathWorld, Pell Equation
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FORMULA
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a(n)=8984250*n-2515920 (n>0)
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EXAMPLE
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For n=1, a(1)=6468330; n=2, a(2)=15452580; n=3, a(3)=24436830
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CROSSREFS
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Cf. A157786, A157788
Sequence in context: A147531 A018895 A141594 this_sequence A115615 A022237 A116173
Adjacent sequences: A157784 A157785 A157786 this_sequence A157788 A157789 A157790
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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 06 2009
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