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A374208 The 5-adic valuation of A113177(n), where A113177 is fully additive with a(p) = Fibonacci(p).

%I A374208 #9 Jul 01 2024 15:27:15
%S A374208 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,0,
%T A374208 0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,
%U A374208 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1
%N A374208 The 5-adic valuation of A113177(n), where A113177 is fully additive with a(p) = Fibonacci(p).
%H A374208 Antti Karttunen, <a href="/A374208/b374208.txt">Table of n, a(n) for n = 2..100000</a>
%F A374208 a(n) = A112765(A113177(n)).
%o A374208 (PARI)
%o A374208 A113177(n) = if(n<=1, 0, my(f=factor(n)); sum(i=1, #f~, f[i, 2]*fibonacci(f[i,1])));
%o A374208 A374208(n) = valuation(A113177(n), 5);
%Y A374208 Cf. A000045, A112765, A113177.
%Y A374208 Cf. also A374205, A374206, A374207.
%K A374208 nonn
%O A374208 2,101
%A A374208 _Antti Karttunen_, Jul 01 2024