Search: id:A081320
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%I A081320
%S A081320 1,1,2,3,1,8,1,3,2,1,1,144,1,1,2,3,1,8,1,3,2,1,1,288,1,1,2,3,1,8,1,3,2,
%T A081320 1,1,432,1,1,2,3,1,8,1,3,2,1,1,576,1,1,2,3,1,8,1,3,2,1,1,144,1,1,2,3,1,
%U A081320 8,1,3,2,1,1,864,1,1,2,3,1,8,1,3,2,1,1,144,1,1,2,3,1,8,1,3,2,1,1,1152,
               1
%N A081320 Largest 3-smooth divisor of n-th Fibonacci number.
%C A081320 Conjecture: for n>12 and n>0 modulo 12: a(n)=a(n-12) and a(12*k)=A065331(k)*144.
%e A081320 Fibonacci(36) = 14930352 = 2^4 * 3^3 * 17 * 19 * 107, therefore
%e A081320 a(36) = 2^4 * 3^3 = 432.
%Y A081320 Cf. A003586, a(n)=A065331(A000045(n)).
%Y A081320 Sequence in context: A104027 A097710 A109198 this_sequence A147865 A011152 
               A078298
%Y A081320 Adjacent sequences: A081317 A081318 A081319 this_sequence A081321 A081322 
               A081323
%K A081320 nonn
%O A081320 1,3
%A A081320 Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), May 20 2003

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