%I
%S 14,84,204,374,594,864,1184,1554,1974,2444,2964,3534,4154,4824,5544,
%T 6314,7134,8004,8924,9894,10914,11984,13104,14274,15494,16764,18084,
%U 19454,20874,22344,23864,25434,27054,28724,30444,32214,34034,35904,37824,39794,41814
%N a(n) = (5*n+2)*(5*n+7).
%C 1 = 2/7 + Sum(n=1,inf.,25/a(n)) = 2/7 + 25/84 + 25/204 + 25/374 + 25/594...+...; with partial sums: 2/7, 7/12, 12/17, 17/22...(5n+2)/(5n+7)...==>1
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,3,1).
%F 25n^2 + 45n + 14.
%o (PARI) a(n)=(5*n+2)*(5*n+7) \\ _Charles R Greathouse IV_, Jun 17 2017
%K nonn,easy
%O 0,1
%A _Gary W. Adamson_, Jun 19 2003
%E Corrected by Douglas McNeil and _Charles R Greathouse IV_, Aug 31 2010
