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648, 712, 776, 840, 904, 968, 1032, 1096, 1160, 1224, 1288, 1352, 1416, 1480, 1544, 1608, 1672, 1736, 1800, 1864, 1928, 1992, 2056, 2120, 2184, 2248, 2312, 2376, 2440, 2504, 2568, 2632, 2696, 2760, 2824, 2888, 2952, 3016, 3080, 3144, 3208, 3272, 3336
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (128*n^2+2336*n+10657)^2-(4*n^2+73*n+333)*(64*n+584)^2=1 can be written as A157433(n)^2-A157431(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*(648-584x)/(1-x)^2.
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MATHEMATICA
| LinearRecurrence[{2, -1}, {648, 712}, 50]
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PROG
| (MAGMA) I:=[648, 712]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]];
(PARI) a(n) = 64*n + 584.
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CROSSREFS
| Cf. A157431, A157433.
Sequence in context: A035885 A114827 A034281 * A171606 A006914 A204392
Adjacent sequences: A157429 A157430 A157431 * A157433 A157434 A157435
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KEYWORD
| nonn,easy
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 01 2009
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