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528, 1057, 1586, 2115, 2644, 3173, 3702, 4231, 4760, 5289, 5818, 6347, 6876, 7405, 7934, 8463, 8992, 9521, 10050, 10579, 11108, 11637, 12166, 12695, 13224, 13753, 14282, 14811, 15340, 15869, 16398, 16927, 17456, 17985, 18514, 19043, 19572
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (529*n-1)^2-(529*n^2-2*n)*(23)^2=1 can be written as a(n)^2-A158364(n)*(23)^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
E. J. Barbeau, Polynomial Excursions, Chapter 10: Diophantine equations (2010), pages 84-85 (row 15 in the first table at p. 85, case d(t) = t*(23^2*t-2)).
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*(528+x)/(1-x)^2.
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MATHEMATICA
| LinearRecurrence[{2, -1}, {528, 1057}, 50]
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PROG
| (MAGMA) I:=[528, 1057]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]];
(PARI) a(n) = 529*n - 1.
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CROSSREFS
| Cf. A158364.
Sequence in context: A158364 A085329 A157475 * A076580 A037944 A059465
Adjacent sequences: A158362 A158363 A158364 * A158366 A158367 A158368
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KEYWORD
| nonn,easy
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 17 2009
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