cp's OEIS Frontend

A237346 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(9).

%I A237346 #20 Jul 01 2023 14:11:22
%S A237346 0,1,2,3,4,5,6,7,8,9,81,82,83,84,85,86,87,88,89,881,882,883,884,885,
%T A237346 886,887,888,889,8881,8882,8883,8884,8885,8886,8887,8888,8889,88881,
%U A237346 88882,88883,88884,88885,88886,88887,88888,88889,888881,888882,888883,888884
%N A237346 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(9).
%H A237346 Alois P. Heinz, <a href="/A237346/b237346.txt">Table of n, a(n) for n = 0..1000</a>
%H A237346 <a href="/index/Rec#order_18">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, -10).
%F A237346 G.f.: -(10*x^18 -10*x^16 -20*x^15 -30*x^14 -40*x^13 -50*x^12 -60*x^11 -70*x^10 -9*x^9 -8*x^8 -7*x^7 -6*x^6 -5*x^5 -4*x^4 -3*x^3 -2*x^2 -x) / (10*x^18 -11*x^9 +1). - _Alois P. Heinz_, Feb 07 2014
%Y A237346 Cf. A235498, A235499, A237341 - A237346.
%K A237346 nonn,base,easy
%O A237346 0,3
%A A237346 _Vincenzo Librandi_, Feb 06 2014
%E A237346 Definition by _N. J. A. Sloane_, Feb 07 2014