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%I #36 Aug 08 2019 18:43:49
%S 1,9,61,381,2317,13965,83917,503757,3023053,18139341,108838093,
%T 653032653,3918204109,23509241037,141055478989,846332939469,
%U 5077997767885,30467986869453,182807921741005,1096847531494605
%N Expansion of 1/((1-x)(1-2x)(1-6x)).
%H Muniru A Asiru, <a href="/A016200/b016200.txt">Table of n, a(n) for n = 0..250</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (9,-20,12).
%F a(n) = (9*6^n - 5*2^n + 1)/5. - _Bruno Berselli_, Feb 09 2011
%F a(0)=1, a(n) = 6*a(n-1) + 2^(n+1) - 1. - _Vincenzo Librandi_, Feb 09 2011
%F a(n) = Sum_{k=0..n} 2^(n-1-k) * (3^(n+1-k) - 1). - _J. M. Bergot_, Feb 06 2018
%p seq((9*6^n-5*2^n+1)/5, n=0..100); # _Muniru A Asiru_, Feb 06 2018
%o (GAP) List([0..100],n->(9*6^n-5*2^n+1)/5); # _Muniru A Asiru_, Feb 06 2018
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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