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%I #32 Sep 04 2017 03:43:10
%S 1,10,71,440,2541,14070,75811,400900,2091881,10808930,55442751,
%T 282806160,1436400421,7271480590,36715316891,185008240220,
%U 930767824161,4676745613050,23475354034231,117743274047080,590182385739101,2956775990710310,14807336201610771
%N Expansion of 1/((1-x)*(1-4*x)*(1-5*x)).
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (10,-29,20).
%F From _Vincenzo Librandi_, Feb 10 2011: (Start)
%F a(n) = a(n-1) + 5^(n+1) - 4^(n+1), n >= 1.
%F a(n) = 9*a(n-1) - 20*a(n-2) + 1, n >= 2. (End)
%F a(n) = 1/12 - 4^(n+2)/3 + 5^(n+2)/4. - _R. J. Mathar_, Mar 15 2011
%o (PARI) Vec(1/((1-x)*(1-4*x)*(1-5*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 23 2012
%Y Cf. A016208, A000392, A000225, A003462, A003463, A003464, A023000, A023001, A002452, A002275, A016123, A016125, A016256.
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_