cp's OEIS Frontend

A237345 For k in {2,3,...,9} define a sequence as follows: a(0)=0; for n>=0, a(n+1)=a(n)+1, unless a(n) ends in k, in which case a(n+1) is obtained by replacing the last digit of a(n) with the digit(s) of k^2. This is k(8).

%I A237345 #22 Jul 01 2023 14:10:29
%S A237345 0,1,2,3,4,5,6,7,8,64,65,66,67,68,664,665,666,667,668,6664,6665,6666,
%T A237345 6667,6668,66664,66665,66666,66667,66668,666664,666665,666666,666667,
%U A237345 666668,6666664,6666665,6666666,6666667,6666668,66666664,66666665,66666666
%N A237345 For k in {2,3,...,9} define a sequence as follows: a(0)=0; for n>=0, a(n+1)=a(n)+1, unless a(n) ends in k, in which case a(n+1) is obtained by replacing the last digit of a(n) with the digit(s) of k^2. This is k(8).
%H A237345 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 11, 0, 0, 0, 0, -10).
%F A237345 G.f.: -(10*x^13 +10*x^12 +10*x^11 +10*x^10 +20*x^9 -25*x^8 -15*x^7 -5*x^6 +5*x^5 +4*x^4 +3*x^3 +2*x^2+x)/(-10*x^10+11*x^5-1). - _Alois P. Heinz_, Feb 07 2014
%Y A237345 Cf. A235498, A235499, A237341 - A237346.
%K A237345 nonn,base,easy
%O A237345 0,3
%A A237345 _Vincenzo Librandi_, Feb 06 2014
%E A237345 Definition by _N. J. A. Sloane_, Feb 07 2014