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A094347
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a(n) = 14*a(n-1)-a(n-2); a(0) = a(1) = 2.
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3
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2, 2, 26, 362, 5042, 70226, 978122, 13623482, 189750626, 2642885282, 36810643322, 512706121226, 7141075053842, 99462344632562, 1385331749802026, 19295182152595802, 268747218386539202, 3743165875258953026
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Even x satisfying the Pellian x^2 - 3*y^2 = 1. For corresponding y see A028230.
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
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FORMULA
| G.f.: 2*(1-13x)/(1-14*x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 17 2008]
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MATHEMATICA
| LinearRecurrence[{14, -1}, {2, 2}, 40] (* or *) CoefficientList[ Series[2(1-13x)/(1-14x+x^2), {x, 0, 39}], x] (* From Harvey P. Dale, Apr 23 2011 *)
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CROSSREFS
| a(n)=2*A001570(n). Bisection of A001075. Cf. A028230.
Sequence in context: A195967 A120979 A032000 * A024577 A121222 A125067
Adjacent sequences: A094344 A094345 A094346 * A094348 A094349 A094350
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KEYWORD
| nonn
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AUTHOR
| Lekraj Beedassy (blekraj(AT)yahoo.com), Jun 03 2004; corrected Jun 11, 2004.
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EXTENSIONS
| More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 12 2004
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