A016318 - OEIS

%I #16 Sep 08 2022 08:44:41

%S 1,21,315,4145,51051,605241,7007155,79874865,900993051,10089880361,

%T 112420339395,1248076978785,13820472734251,152758207825881,

%U 1686204348094035,18595160325141905,204922063545486651

%N Expansion of 1/((1-2x)(1-8x)(1-11x)).

%H Vincenzo Librandi, <a href="/A016318/b016318.txt">Table of n, a(n) for n = 0..900</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (21,-126,176).

%F From _Vincenzo Librandi_, Oct 09 2011: (Start)

%F a(n) = (11^(n+2) + 2^(n+1) - 96*8^n)/27.

%F a(n) = 19*a(n-1) - 88*a(n-2) + 2^n.

%F a(n) = 21*a(n-1) - 126*a(n-2) + 176*a(n-3), n >= 3. (End)

%o (Magma) [(11^(n+2)+2^(n+1)-96*8^n)/27 : n in [0..20]]; // _Vincenzo Librandi_, Oct 09 2011

%o (PARI) Vec(1/((1-2*x)*(1-8*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_