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A188129
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a(n) = (2^n+3)^2-8.
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2
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8, 17, 41, 113, 353, 1217, 4481, 17153, 67073, 265217, 1054721, 4206593, 16801793, 67158017, 268533761, 1073938433, 4295360513, 17180655617, 68721049601, 274881052673, 1099517919233, 4398059094017, 17592211210241, 70368794509313, 281475077373953, 1125900108169217, 4503600030023681, 18014399314788353, 72057595648540673
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) = 7*a(n-1)-14*a(n-2)+8*a(n-3). G.f.: -(34*x^2-39*x+8)/((x-1)*(2*x-1)*(4*x-1)). [Colin Barker, Nov 11 2012]
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MATHEMATICA
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(2^Range[0, 30]+3)^2-8 (* or *) LinearRecurrence[{7, -14, 8}, {8, 17, 41}, 30] (* Harvey P. Dale, Nov 23 2012 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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