Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #9 Jul 01 2024 15:27:15
%S 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 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 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 The 5-adic valuation of A113177(n), where A113177 is fully additive with a(p) = Fibonacci(p).
%H Antti Karttunen, <a href="/A374208/b374208.txt">Table of n, a(n) for n = 2..100000</a>
%F a(n) = A112765(A113177(n)).
%o (PARI)
%o A113177(n) = if(n<=1, 0, my(f=factor(n)); sum(i=1, #f~, f[i, 2]*fibonacci(f[i,1])));
%o A374208(n) = valuation(A113177(n), 5);
%Y Cf. A000045, A112765, A113177.
%Y Cf. also A374205, A374206, A374207.
%K nonn
%O 2,101
%A _Antti Karttunen_, Jul 01 2024