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A292251 The 3-adic valuation of A048673(n).

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%I A292251 #10 Sep 12 2017 20:38:10
%S A292251 0,0,1,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,
%T A292251 1,0,1,0,0,0,0,0,1,0,0,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,
%U A292251 0,0,0,0,0,0,1,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,4,0,1,0,0,0,0,0,3,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0
%N A292251 The 3-adic valuation of A048673(n).
%H A292251 Antti Karttunen, <a href="/A292251/b292251.txt">Table of n, a(n) for n = 1..16384</a>
%F A292251 a(n) = A007814(1+A292250(n)).
%F A292251 a(n) = A007949(A048673(n)).
%F A292251 a(n) = A007949(3*A048673(n)) - 1.
%F A292251 a(n) = A292252(2n)-1.
%t A292251 IntegerExponent[#, 3] & /@ Table[(Times @@ Power[If[# == 1, 1, NextPrime@ #] & /@ First@ #, Last@ #] + 1)/2 &@ Transpose@ FactorInteger@ n, {n, 120}] (* _Michael De Vlieger_, Sep 12 2017 *)
%Y A292251 One less than the even bisection of A292252.
%Y A292251 Cf. A007814, A007949, A048673, A292250.
%Y A292251 Cf. also A292241, A292261.
%K A292251 nonn
%O A292251 1,13
%A A292251 _Antti Karttunen_, Sep 12 2017