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 A146301 a(n) = (8*n+3)*(8*n+7) 0
 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 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS sum(1/((8*n+3)*(8*n+7)) = 1/16*sqrt(2)*(log(sqrt(2)-1)+Pi/2) = 0.60936936799920131042... LINKS Index entries for linear recurrences with constant coefficients, signature (3,-3,1). FORMULA G.f: (21 + 102*x + 5*x^2)/(1-x)^3. E.g.f: (21 + 144*x + 64*x^2)*exp(x). MAPLE seq((8*n+3)*(8*n+7), n=0..40); MATHEMATICA Table[(8n+3)(8n+7), {n, 0, 40}] (* or *) LinearRecurrence[{3, -3, 1}, {21, 165, 437}, 40] (* Harvey P. Dale, Aug 16 2015 *) PROG (PARI) a(n)=(8*n+3)*(8*n+7) \\ Charles R Greathouse IV, Jun 17 2017 CROSSREFS Sequence in context: A179097 A070315 A242191 * A126993 A022681 A266733 Adjacent sequences:  A146298 A146299 A146300 * A146302 A146303 A146304 KEYWORD nonn,easy AUTHOR Miklos Kristof, Oct 29 2008 STATUS approved

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