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10248, 28770, 47292, 65814, 84336, 102858, 121380, 139902, 158424, 176946, 195468, 213990, 232512, 251034, 269556, 288078, 306600, 325122, 343644, 362166, 380688, 399210, 417732, 436254, 454776, 473298, 491820, 510342, 528864, 547386
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (388962*n^2-347508*n+77617)^2-(441*n^2-394*n+88)*(18522*n- 8274)^2=1 can be written as A157736(n)^2-A157734(n)*a(n)^2=1.
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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
| a(n) = 2*a(n-1) - a(n-2).
G.f.: x*(10248+8274*x)/(x-1)^2.
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MATHEMATICA
| LinearRecurrence[{2, -1}, {10248, 28770}, 40]
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PROG
| (MAGMA) I:=[10248, 28770]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..40]];
(PARI) a(n) = 18522*n - 8274.
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CROSSREFS
| Cf. A157734, A157736.
Sequence in context: A074671 A156119 A109176 * A187311 A204691 A200712
Adjacent sequences: A157732 A157733 A157734 * A157736 A157737 A157738
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KEYWORD
| nonn,easy
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tn.it), Mar 05 2009
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