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%I #19 Sep 28 2023 14:30:15
%S 1,17,223,2669,30655,344981,3841447,42535853,469573999,5175391685,
%T 56989774711,627250318877,6901930289983,75934293883829,
%U 835355596886215,9189381750732941,101086020367969807,1111963150707112613
%N Expansion of 1/((1-6x)(1-11x)).
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (17, -66).
%F (11^(n+1) - 6^(n+1))/5. - Lambert Klasen (lambert.klasen(AT)gmx.net), Feb 06 2005
%F a(n) = 11*a(n-1) + 6^n, a(0)=1. - _Vincenzo Librandi_, Feb 09 2011
%p A016174:=n->(11^(n + 1) - 6^(n + 1))/5; seq(A016174(n), n=0..30); # _Wesley Ivan Hurt_, Jan 30 2014
%t Join[{a=1,b=17},Table[c=17*b-66*a;a=b;b=c,{n,40}]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 08 2011 *)
%o (PARI) Vec(1/((1-6*x)*(1-11*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012
%K nonn,easy
%O 0,2
%A _N. J. A. Sloane_
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