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A226202
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a(n) = 9^n + n.
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7
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1, 10, 83, 732, 6565, 59054, 531447, 4782976, 43046729, 387420498, 3486784411, 31381059620, 282429536493, 2541865828342, 22876792454975, 205891132094664, 1853020188851857, 16677181699666586, 150094635296999139
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OFFSET
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0,2
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COMMENTS
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After 83, the next prime of this form is a(76). - Bruno Berselli, Jun 18 2013
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LINKS
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FORMULA
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G.f.: (-1+x+8*x^2)/((9*x-1)*(x-1)^2).
a(n) = 11*a(n-1)-19*a(n-2)+9*a(n-3).
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MATHEMATICA
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Table[9^n + n, {n, 0, 30}] (* or *) CoefficientList[Series[(- 1 + x + 8 x^2) / ((9 x - 1) (x - 1)^2), {x, 0, 30}], x]
LinearRecurrence[{11, -19, 9}, {1, 10, 83}, 20] (* Harvey P. Dale, Feb 03 2016 *)
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PROG
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(Magma) [9^n+n: n in [0..30]]; /* or */ I:=[1, 10, 83]; [n le 3 select I[n] else 11*Self(n-1)-19*Self(n-2)+9*Self(n-3): n in [1..30]];
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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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