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Search: id:A157769
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| A157769 |
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a(n)=89844250*n-6468330 (n>0) |
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+0
3
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| 2515920, 11500170, 20484420, 29468670, 38452920, 47437170, 56421420, 65405670, 74389920, 83374170, 92358420, 101342670, 110326920, 119311170, 128295420, 137279670, 146263920, 155248170, 164232420, 173216670, 182200920, 191185170
(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=[A157768] 27225*n.^2-39202*n +14112 (2135, 44608, 141531,.,); Y=[A157769] 8984250*n - 6468330 (2515920, 11500170, 20484420..,); X=[A157770] 1482401250*n^2-2134548900*n + 768398401 (116250751, 2428905601, 7706362951,.,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 116250751^2-2135 *2515920^2=1; 2428905601^2-44608*11500170^2=1.
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LINKS
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Edward Everett Withford, Pell Equation
Vincenzo Librandi, X^2-AY^2=1
Philippe Chevanne, Pell Equation
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EXAMPLE
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a(n)=89844250*n-6468330 (n>0)
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MAPLE
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For n=1, a(1)=2515920; n=2, a(2)=11500170; n=3, a(3)=20484420
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CROSSREFS
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Cf. A157768, A157770
Sequence in context: A022216 A097968 A114659 this_sequence A096557 A151938 A004674
Adjacent sequences: A157766 A157767 A157768 this_sequence A157770 A157771 A157772
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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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