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A027693
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a(n) = n^2 + n + 8.
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6
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8, 10, 14, 20, 28, 38, 50, 64, 80, 98, 118, 140, 164, 190, 218, 248, 280, 314, 350, 388, 428, 470, 514, 560, 608, 658, 710, 764, 820, 878, 938, 1000, 1064, 1130, 1198, 1268, 1340, 1414, 1490, 1568, 1648, 1730, 1814, 1900, 1988, 2078, 2170
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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(0)=8, a(1)=10, a(2)=14, a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3). - Harvey P. Dale, Dec 13 2011
Sum_{n>=0} 1/a(n) = Pi*tanh(Pi*sqrt(31)/2)/sqrt(31). - Amiram Eldar, Jan 17 2021
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MAPLE
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with (combinat):seq(fibonacci(3, n)+n+7, n=0..46); # Zerinvary Lajos, Jun 07 2008
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MATHEMATICA
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LinearRecurrence[{3, -3, 1}, {8, 10, 14}, 60] (* Harvey P. Dale, Dec 13 2011 *)
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PROG
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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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