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%I A227836 #17 Sep 08 2022 08:46:05
%S A227836 0,0,0,1,0,2,0,1,0,1,1,0,0,0,1,0,2,0,2,1,0,0,0,2,0,2,1,0,0,0,4,0,3,0,
%T A227836 1,0,3,0,2,0,2,1,0,0,0,2,0,2,1,0,0,0,4,0,3,0,2,0,1,0,1,1,0,0,0,1,0,1,
%U A227836 1,0,0,0,1,0,1,3,0,0,0,6,0,1,0,1,3,0,0,0,3,0,1,0,1,5,0,0,0,3,0,2,0
%N A227836 2^a(n) is the highest power of 2 dividing A214551(n).
%C A227836 This is the 2-adic valuation of A214551.
%H A227836 Reinhard Zumkeller, Table of n, a(n) for n = 0..10000
%t A227836 f[l_List] := Append[l, (l[[-1]] + l[[-3]])/GCD[l[[-1]], l[[-3]]]];
%t A227836 A214551[m_] := Nest[f, {1, 1, 1}, m]; IntegerExponent[A214551[200], 2] (* _G. C. Greubel_, Apr 28 2017 *)
%o A227836 (Haskell)
%o A227836 a227836 = a007814 . a214551 -- _Reinhard Zumkeller_, Aug 05 2013
%o A227836 (Magma) m:=100; A214551:=[i le 2 select 1 else (Self(i)+Self(i-2)) div Gcd(Self(i),Self(i-2)): i in [0..m]]; [Valuation(A214551[n],2): n in [1..m+1]]; // _Bruno Berselli_, Aug 05 2013
%Y A227836 Cf. A000930, A007814, A214551, A227835, A227837.
%K A227836 nonn
%O A227836 0,6
%A A227836 _N. J. A. Sloane_, Aug 04 2013
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