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%I #14 Sep 08 2022 08:45:23
%S 3,10,29,72,163,350,729,1492,3023,6090,12229,24512,49083,98230,196529,
%T 393132,786343,1572770,3145629,6291352,12582803,25165710,50331529,
%U 100663172,201326463,402653050,805306229,1610612592,3221225323
%N a(n) = 6*2^(n+1) - 5*(n+1) - 4.
%H Vincenzo Librandi, <a href="/A114958/b114958.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4,-5,2).
%F From _Colin Barker_, Apr 30 2019: (Start)
%F G.f.: (3 - 2*x + 4*x^2) / ((1 - x)^2*(1 - 2*x)).
%F a(n) = 4*a(n-1) - 5*a(n-2) + 2*a(n-3) for n>2.
%F (End)
%o (Magma) [6*2^(n+1) - 5*(n+1) - 4: n in [0..30] ]; // _Vincenzo Librandi_, May 18 2011
%o (PARI) Vec((3 - 2*x + 4*x^2) / ((1 - x)^2*(1 - 2*x)) + O(x^40)) \\ _Colin Barker_, Apr 30 2019
%Y Cf. A098011, A042950, A110164, A101229, A058764, A087009, A111286, A007283.
%K easy,nonn
%O 0,1
%A _Creighton Dement_, Feb 21 2006
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