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18564, 37086, 55608, 74130, 92652, 111174, 129696, 148218, 166740, 185262, 203784, 222306, 240828, 259350, 277872, 296394, 314916, 333438, 351960, 370482, 389004, 407526, 426048, 444570, 463092, 481614, 500136, 518658, 537180, 555702
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (388962n^2+1764n+1)^2-(441n^2+2n)*(18522n+42)^2=1 can be written as A157741(n)^2-A158321(n)*a(n)^2=1 (see the second comment in A157741) - Vincenzo Librandi, Feb 05 2012
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Vincenzo Librandi, X^2-AY^2=1
Index to sequences with linear recurrences with constant coefficients, signature (2,-1).
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FORMULA
| G.f.: x*(18564-42*x)/(1-x)^2. - Vincenzo Librandi, Feb 05 2012
a(n) = 2*a(n-1)-a(n-2). - Vincenzo Librandi, Feb 05 2012
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MATHEMATICA
| LinearRecurrence[{2, -1}, {18564, 37086}, 50] (* Vincenzo Librandi, Feb 05 2012 *)
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PROG
| (MAGMA) I:=[18564, 37086]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; // Vincenzo Librandi, Feb 05 2012
(PARI) for(n=1, 40, print1(18522n + 42", ")); \\ Vincenzo Librandi, Feb 05 2012
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CROSSREFS
| Cf. A157741, A158321.
Sequence in context: A157738 A173274 A031817 * A081416 A051795 A089522
Adjacent sequences: A157737 A157738 A157739 * A157741 A157742 A157743
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 05 2009
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