cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A016146 Expansion of g.f. 1/((1-3*x)*(1-11*x)).

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%I A016146 #32 Mar 09 2025 12:25:36
%S A016146 1,14,163,1820,20101,221354,2435623,26794040,294741001,3242170694,
%T A016146 35663936683,392303480660,4315338818701,47468728600034,
%U A016146 522156019383343,5743716227565680,63180878546269201,694989664138101374,7644886305906535603,84093749366134153100,925031243030962468501
%N A016146 Expansion of g.f. 1/((1-3*x)*(1-11*x)).
%H A016146 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (14,-33).
%F A016146 a(n) = 14*a(n-1) - 33*a(n-2), n >= 2. - _Vincenzo Librandi_, Mar 14 2011
%F A016146 a(n) = (-3^(n+1) + 11^(n+1))/8. - _R. J. Mathar_, Mar 15 2011
%F A016146 From _Elmo R. Oliveira_, Mar 08 2025: (Start)
%F A016146 E.g.f.: exp(3*x)*(11*exp(8*x) - 3)/8.
%F A016146 a(n) = A139741(n+1)/8. (End)
%t A016146 Join[{a=1,b=14},Table[c=14*b-33*a;a=b;b=c,{n,60}]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 01 2011 *)
%t A016146 CoefficientList[Series[1/((1-3x)(1-11x)),{x,0,30}],x] (* or *) LinearRecurrence[ {14,-33},{1,14},30] (* _Harvey P. Dale_, Dec 18 2018 *)
%Y A016146 Cf. A139741.
%K A016146 nonn,easy
%O A016146 0,2
%A A016146 _N. J. A. Sloane_
%E A016146 More terms from _Michel Marcus_, Mar 09 2025