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A146301
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a(n) = (8*n+3)*(8*n+7).
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0
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21, 165, 437, 837, 1365, 2021, 2805, 3717, 4757, 5925, 7221, 8645, 10197, 11877, 13685, 15621, 17685, 19877, 22197, 24645, 27221, 29925, 32757, 35717, 38805, 42021, 45365, 48837, 52437, 56165, 60021, 64005, 68117, 72357, 76725, 81221
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OFFSET
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0,1
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COMMENTS
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Sum_{n>=0} 1/((8*n+3)*(8*n+7)) = (1/16)*sqrt(2)*(log(sqrt(2)-1) + Pi/2) = 0.60936936799920131042...
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LINKS
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FORMULA
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G.f: (21 + 102*x + 5*x^2)/(1-x)^3.
E.g.f.: (21 + 144*x + 64*x^2)*exp(x).
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MAPLE
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seq((8*n+3)*(8*n+7), n=0..40);
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MATHEMATICA
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Table[(8n+3)(8n+7), {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {21, 165, 437}, 40] (* Harvey P. Dale, Aug 16 2015 *)
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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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