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Search: id:A157738
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| 18480, 37002, 55524, 74046, 92568, 111090, 129612, 148134, 166656, 185178, 203700, 222222, 240744, 259266, 277788, 296310, 314832, 333354, 351876, 370398, 388920, 407442, 425964, 444486, 463008, 481530, 500052, 518574, 537096, 555618
(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=[A157737] 441*n.^2-2*n (439, 1760, 3963,..,); Y=[A157738] 18522*n- 42 (18480, 37002, 55524..,); X=[A157739] 388962*n^2-1764*n +1 (387199, 1552321, 3495367,..,), we have, for all terms, Pell's equation X^2-A*Y^2=1. Example: 387199^2-439 *18480^2=1; 1552321^2-1760*37002^2=1; 3495367^2-3963*55524^2=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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FORMULA
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a(n)=1852*n-42 (n>0)
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EXAMPLE
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For n=1, a(1)=18480; n=2, a(2)=37002; n=3, a(3)=55524
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CROSSREFS
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Cf. A157737, A157739
Sequence in context: A145822 A071368 A035924 this_sequence A031817 A157740 A081416
Adjacent sequences: A157735 A157736 A157737 this_sequence A157739 A157740 A157741
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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 05 2009
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