cp's OEIS Frontend

A237342 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(5).

%I A237342 #24 Jul 01 2023 14:06:04
%S A237342 0,1,2,3,4,5,25,225,2225,22225,222225,2222225,22222225,222222225,
%T A237342 2222222225,22222222225,222222222225,2222222222225,22222222222225,
%U A237342 222222222222225,2222222222222225,22222222222222225,222222222222222225,2222222222222222225
%N A237342 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(5).
%H A237342 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11, -10).
%F A237342 G.f.: (10*x^6-9*x^5-9*x^4-9*x^3-9*x^2+x)/(10*x^2-11*x+1). - _Alois P. Heinz_, Feb 07 2014
%F A237342 a(n) = ( 25 + 2*10^(n-4) )/9 for n>4. [_Bruno Berselli_, Feb 08 2014]
%t A237342 Join[Range[0, 4], Table[(25 + 2 10^(n - 4))/9, {n, 5, 30}]] (* _Bruno Berselli_, Feb 08 2014 *)
%Y A237342 Cf. A235498, A235499,  A237341 - A237346.
%K A237342 nonn,base,easy
%O A237342 0,3
%A A237342 _Vincenzo Librandi_, Feb 06 2014
%E A237342 Definition by _N. J. A. Sloane_, Feb 07 2014