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1820, 6214, 10608, 15002, 19396, 23790, 28184, 32578, 36972, 41366, 45760, 50154, 54548, 58942, 63336, 67730, 72124, 76518, 80912, 85306, 89700, 94094, 98488, 102882, 107276, 111670, 116064, 120458, 124852, 129246, 133640, 138034, 142428
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| The identity (57122*n^2+47320*n+9801)^2-(169*n^2+140*n+29)*(4394*n+1820)^2=1 can be written as A156735(n)^2-A156640(n)*a(n)^2=1.
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index to sequences with linear recurrences with constant coefficients, signature (2,-1).
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FORMULA
| G.f.: 26*(70+99*x)/(x-1)^2. - R. J. Mathar, Jan 05 2011
a(n) = 2*a(n-1)-a(n-2).
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MATHEMATICA
| LinearRecurrence[{2, -1}, {1820, 6214}, 50]
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PROG
| (MAGMA) I:=[1820, 6214]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]];
(PARI) a(n)=4394*n+1820 \\ Charles R Greathouse IV, Dec 23 2011
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CROSSREFS
| Cf. A156640, AA156718, A156735.
Sequence in context: A134155 A058954 A205258 * A174770 A171349 A179581
Adjacent sequences: A156633 A156634 A156635 * A156637 A156638 A156639
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KEYWORD
| nonn,easy
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Feb 15 2009
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EXTENSIONS
| Offset corrected. - R. J. Mathar, Jan 05 2011
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