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%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
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