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%I #8 Jun 14 2016 12:02:08
%S 1,1,10,55,325,1900,11125,65125,381250,2231875,13065625,76487500,
%T 447765625,2621265625,15345156250,89832109375,525886328125,
%U 3078592187500,18022392578125,105504923828125,617636582031250,3615707529296875,21166720556640625
%N a(0) = a(1) = 1; a(n) = 5*a(n-1) + 5*a(n-2).
%C First differences give {0,9,45,270,1575,9225,54000,316125,1850625,10833750,63421875,371278125, . . .}
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,5).
%F G.f.: (4x-1)/(5x^2+5x-1)
%F a(n) = 1/5 2^-n (-(5-3 Sqrt[5])^n (2+Sqrt[5])+(-2+Sqrt[5]) (5+3 Sqrt[5])^n)
%t Transpose[NestList[Flatten[{Rest[#],ListCorrelate[{5,5},#]}]&, {1,1},40]][[1]]
%Y Cf. A123270.
%K nonn,easy
%O 0,3
%A _Harvey P. Dale_, Mar 23 2011
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