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.

A155654 11^n - 6^n + 1.

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%I A155654 #16 Apr 11 2023 11:31:27
%S A155654 1,6,86,1116,13346,153276,1724906,19207236,212679266,2347869996,
%T A155654 25876958426,284948873556,3136251594386,34509651449916,
%U A155654 379671469419146,4176777984431076,45946908753664706,505430101839849036
%N A155654 11^n - 6^n + 1.
%H A155654 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (18,-83,66).
%F A155654 G.f.: 1/(1-11*x)-1/(1-6*x)+1/(1-x). E.g.f.: e^(11*x)-e^(6*x)+e^x.
%F A155654 a(n)=17*a(n-1)-66*a(n-2)+50 with a(0)=1, a(1)=6 [From _Vincenzo Librandi_, Jul 21 2010]
%t A155654 Table[11^n-6^n+1,{n,0,30}] (* or *) LinearRecurrence[{18,-83,66},{1,6,86},30] (* _Harvey P. Dale_, Apr 11 2023 *)
%o A155654 (PARI) a(n)= 11^n-6^n+1 \\ _Charles R Greathouse IV_, Dec 22 2011
%K A155654 nonn,easy
%O A155654 0,2
%A A155654 _Mohammad K. Azarian_, Jan 31 2009