Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #11 Jun 29 2023 18:06:11
%S 1,3,7,22,111,1111,11111,111111,1111111,11111111,111111111,1111111111,
%T 11111111111,111111111111,1111111111111,11111111111111,
%U 111111111111111,1111111111111111,11111111111111111,111111111111111111
%N a(1) = 1; a(n) = smallest palindromic number of the form k*a(n-1) + 1 with k > 1.
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11, -10).
%F a(n) = (10^(n-2) - 1)/9 for n > 4.
%F G.f.: (110*x^5 - 61*x^4 - 25*x^3 - 16*x^2 - 8*x + 1)/(10*x-1)/(x-1). - Maksym Voznyy (voznyy(AT)mail.ru), Jan 10 2008
%p A069505:=seriestolist(taylor((1+110*x^5-61*x^4-25*x^3-16*x^2-8*x)/(10*x-1)/(x-1),x,20)); # Maksym Voznyy (voznyy(AT)mail.ru), Jan 10 2008
%Y Cf. A069506, A069507, A069508, A069509, A069510.
%K nonn,base
%O 0,2
%A _Amarnath Murthy_, Mar 30 2002
%E More terms from _Patrick De Geest_, Jun 11 2003