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A214881 2-adic valuation of A016090.

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%I A214881 #13 May 14 2021 15:29:58
%S A214881 1,2,3,5,5,6,8,8,9,13,14,14,14,14,15,17,17,18,21,21,22,23,26,26,26,26,
%T A214881 27,28,30,30,31,32,34,34,36,36,38,38,39,42,41,48,43,44,49,46,47,49,52,
%U A214881 51,51,52,53,56,56,56,63,58,59,60,61,65,64,64,66,66,67
%N A214881 2-adic valuation of A016090.
%C A214881 a(n) >= n.
%C A214881 It appears that the density of n such that a(n) = n is 1/2.
%H A214881 Eric M. Schmidt, <a href="/A214881/b214881.txt">Table of n, a(n) for n = 1..10000</a>
%H A214881 <a href="/index/Ar#automorphic">Index entries for sequences related to automorphic numbers</a>
%o A214881 (GAP) A214881 := function(max) local result, i; result := [6]; for i in [2..max] do Add(result, (2*result[i-1] - result[i-1]^2) mod 10^i); od; result := List(result, x->Valuation(x, 2)); return result; end;
%Y A214881 Cf. A016090, A214880, A214882, A214883.
%K A214881 nonn,base
%O A214881 1,2
%A A214881 _Eric M. Schmidt_, Jul 29 2012