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.

A155664 a(n) = 10^n+8^n-1.

This page as a plain text file.
%I A155664 #19 May 24 2024 14:16:47
%S A155664 1,17,163,1511,14095,132767,1262143,12097151,116777215,1134217727,
%T A155664 11073741823,108589934591,1068719476735,10549755813887,
%U A155664 104398046511103,1035184372088831,10281474976710655,102251799813685247
%N A155664 a(n) = 10^n+8^n-1.
%H A155664 Harvey P. Dale, <a href="/A155664/b155664.txt">Table of n, a(n) for n = 0..999</a>
%H A155664 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (19,-98,80).
%F A155664 G.f.: 1/(1-10*x)+1/(1-8*x)-1/(1-x).
%F A155664 E.g.f.: e^(10*x)+e^(8*x)-e^x.
%F A155664 a(n)=18*a(n-1)-80*a(n-2)-63 with a(0)=1, a(1)=17. - _Vincenzo Librandi_, Jul 21 2010
%F A155664 a(0)=1, a(1)=17, a(2)=163, a(n)=19*a(n-1)-98*a(n-2)+80*a(n-3). - _Harvey P. Dale_, Oct 11 2011
%t A155664 Table[10^n+8^n-1,{n,0,20}] (* or *) LinearRecurrence[{19,-98,80},{1,17,163},20] (* _Harvey P. Dale_, Oct 11 2011 *)
%o A155664 (PARI) a(n)=10^n+8^n-1 \\ _Charles R Greathouse IV_, Jun 11 2015
%Y A155664 Cf. A155646, A155647, A155648, A155649, A155650, A155651, A155652, A155653, A155654, A155655, A155656, A155657, A155658, A155659, A155660, A155661, A155662, A155663.
%K A155664 nonn,easy
%O A155664 0,2
%A A155664 _Mohammad K. Azarian_, Jan 31 2009