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1440, 2898, 4356, 5814, 7272, 8730, 10188, 11646, 13104, 14562, 16020, 17478, 18936, 20394, 21852, 23310, 24768, 26226, 27684, 29142, 30600, 32058, 33516, 34974, 36432, 37890, 39348, 40806, 42264, 43722, 45180, 46638, 48096, 49554
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (13122*n^2-324*n+1)^2-(81*n^2-2*n)*(1458*n-18)^2=1 can be written as A157509(n)^2-A157507(n)*a(n)^2=1 (see also second comment in A157509). - Vincenzo Librandi, Jan 26 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
| a(n) = 2*a(n-1)-a(n-2). - Vincenzo Librandi, Jan 26 2012
G.f.: x*(1440+x)/(1-x)^2. - Vincenzo Librandi, Jan 26 2012
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MATHEMATICA
| LinearRecurrence[{2, -1}, {1440, 2898}, 40] (* Vincenzo Librandi, Jan 26 2012 *)
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PROG
| (MAGMA) I:=[1440, 2898]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; // Vincenzo Librandi, Jan 26 2012
(PARI) for(n=1, 35, print1(1458*n - 18", ")); \\ Vincenzo Librandi, Jan 26 2012
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CROSSREFS
| Cf. A157507, A157509.
Sequence in context: A063846 A179691 A078095 * A061221 A187291 A187193
Adjacent sequences: A157505 A157506 A157507 * A157509 A157510 A157511
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KEYWORD
| nonn,easy
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 02 2009
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