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1476, 2934, 4392, 5850, 7308, 8766, 10224, 11682, 13140, 14598, 16056, 17514, 18972, 20430, 21888, 23346, 24804, 26262, 27720, 29178, 30636, 32094, 33552, 35010, 36468, 37926, 39384, 40842, 42300, 43758, 45216, 46674, 48132, 49590
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (13122n^2+324n+1)^2-(81n^2+2n)*(1458n+18)^2=1 can be written as A157506(n)^2-A177099(n)*a(n)^2=1 (see the Berselli's comment in A177099). - Vincenzo Librandi, Feb 04 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*(1476-18*x)/(1-x)^2. - Vincenzo Librandi, Feb 04 2012
a(n) = 2*a(n-1)-a(n-2). - Vincenzo Librandi, Feb 04 2012
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MATHEMATICA
| LinearRecurrence[{2, -1}, {1476, 2934}, 50] (* Vincenzo Librandi, Feb 04 2012 *)
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PROG
| (MAGMA) I:=[1476, 2934]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; // Vincenzo Librandi, Feb 04 2012
(PARI) for(n=1, 40, print1(1458n + 18", ")); \\ Vincenzo Librandi, Feb 04 2012
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CROSSREFS
| Cf. A157506, A177099.
Sequence in context: A068753 A187310 A167575 * A187531 A188363 A159719
Adjacent sequences: A157502 A157503 A157504 * A157506 A157507 A157508
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 02 2009
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