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A372448 a(n) is the 2-adic valuation of 1 + 3*{the n-th iterate of 27 with A371094}. 5

%I #7 May 04 2024 11:58:18

%S 1,4,9,19,39,79,160,322,645,1292,2585,5171,10344,20689,41379,82759,

%T 165520,331043,662087,1324175,2648352,5296705,10593412,21186825,

%U 42373651,84747303,169494607,338989215,677978433,1355956867,2711913735,5423827471,10847654946,21695309894,43390619790,86781239584,173562479171,347124958343

%N a(n) is the 2-adic valuation of 1 + 3*{the n-th iterate of 27 with A371094}.

%H Antti Karttunen, <a href="/A372448/b372448.txt">Table of n, a(n) for n = 0..1001</a>

%F a(n) = A371093(A372444(n)).

%F a(0) = 1, and for n > 0, a(n) = 2*a(n-1) + A371093(A372443(n)).

%o (PARI)

%o A000265(n) = (n>>valuation(n,2));

%o A372443(n) = { my(x=27); while(n, x=A000265(3*x+1); n--); (x); };

%o A371093(n) = valuation(1+3*n,2);

%o A372448(n) = if(!n,1,2*A372448(n-1)+A371093(A372443(n)));

%Y Cf. A371093, A371094, A372443, A372444, A372447, A372449.

%K nonn

%O 0,2

%A _Antti Karttunen_, May 04 2024

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Last modified June 28 14:43 EDT 2024. Contains 373797 sequences. (Running on oeis4.)