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A016241 Expansion of 1/((1-x)*(1-6*x)*(1-7*x)). 1

%I

%S 1,14,141,1246,10277,81270,624877,4710062,34985973,256995046,

%T 1871524733,13536029598,97364345989,697223254742,4974599780109,

%U 35386420442254,251090274984725,1777943916226758,12567479361589405,88703587219138430,625312500662044581

%N Expansion of 1/((1-x)*(1-6*x)*(1-7*x)).

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (14, -55, 42).

%F a(0)=1, a(1)=14, a(n) = 13*a(n-1) - 42*a(n-2) + 1. - _Vincenzo Librandi_, Feb 10 2011

%F a(0)=1, a(1)=14, a(2)=141, a(n) = 14*a(n-1) - 55*a(n-2) + 42*a(n-3). - _Harvey P. Dale_, Aug 05 2011

%t Table[(-6^(n + 2) + 5*7^(n + 1) + 1)/30, {n, 40}] (* or *) CoefficientList[Series[1/((1 - z) (1 - 6*z) (1 - 7*z)), {z, 0, 40}], z] (* _Vladimir Joseph Stephan Orlovsky_, Jul 21 2011 *)

%t LinearRecurrence[{14,-55,42},{1,14,141},40] (* _Harvey P. Dale_, Aug 05 2011 *)

%o (PARI) Vec(1/((1-x)*(1-6*x)*(1-7*x))+O(x^99)) \\ _Charles R Greathouse IV_, Sep 26 2012

%Y Cf. A016218, A016228, A016249.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_

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Last modified May 17 12:55 EDT 2021. Contains 343971 sequences. (Running on oeis4.)