A146301 - OEIS

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A146301

a(n) = (8*n+3)*(8*n+7).

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_{n>=0} 1/((8*n+3)*(8*n+7)) = (1/16)*sqrt(2)*(log(sqrt(2)-1) + Pi/2) = 0.60936936799920131042...

LINKS

Table of n, a(n) for n=0..35.

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