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50, 99, 148, 197, 246, 295, 344, 393, 442, 491, 540, 589, 638, 687, 736, 785, 834, 883, 932, 981, 1030, 1079, 1128, 1177, 1226, 1275, 1324, 1373, 1422, 1471, 1520, 1569, 1618, 1667, 1716, 1765, 1814, 1863, 1912, 1961, 2010, 2059, 2108, 2157, 2206
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The identity (49*n+1)^2-(49*n^2+2*n)*7^2 = 1 can be written as a(n)^2-A157365(n)*7^2 = 1. - Vincenzo Librandi, Feb 11 2012
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index to sequences with linear recurrences with constant coefficients, signature (2,-1).
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FORMULA
| G.f.: x*(50-x)/(1-x)^2. - Vincenzo Librandi, Feb 11 2012
a(n) = 2*a(n-1)-a(n-2). - Vincenzo Librandi, Feb 11 2012
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MATHEMATICA
| LinearRecurrence[{2, -1}, {50, 99}, 50] (* Vincenzo Librandi, Feb 11 2012 *)
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PROG
| (MAGMA) I:=[50, 99]; [n le 2 select I[n] else 2*Self(n-1)-Self(n-2): n in [1..50]]; // Vincenzo Librandi, Feb 11 2012
(PARI) for(n=1, 50, print1(49*n + 1", ")); \\ Vincenzo Librandi, Feb 11 2012
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CROSSREFS
| Cf. A157365.
Sequence in context: A141757 A044139 A044520 * A043220 A039397 A044000
Adjacent sequences: A158063 A158064 A158065 * A158067 A158068 A158069
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KEYWORD
| nonn,easy,changed
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AUTHOR
| Vincenzo Librandi (vincenzo.librandi(AT)tin.it), Mar 12 2009
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