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%I A084351 #9 Jun 16 2013 14:17:56
%S A084351 1,4,12,4,20,12,28,8,36,20,44,12,52,28,60,16,68,36,76,20,84,44,92,24,
%T A084351 100,52,108,28,116,60,124,32,132,68,140,36,148,76,156,40,164,84,172,
%U A084351 44,180,92,188,48,196,100,204,52,212,108,220,56,228,116,236,60,244,124,252
%N A084351 Length of period of sequences r(k,n)=floor(sin(1)*k!)-n*floor(sin(1)*k!/n) when n is fixed.
%F A084351 For n>1 a(n)=n if n==0 (mod 4), a(n)=2n is n==0 (mod 2) and n is not divisible by 4, a(n)=4n if n is odd.
%F A084351 Empirical g.f.: x * (-3*x^8 +4*x^6 +4*x^5 +18*x^4 +4*x^3 +12*x^2 +4*x+1) / (x^8 -2*x^4 +1).  - _Colin Barker_, Jun 16 2013
%o A084351 (PARI) a(n)=if(n<2,1,if(n%2-1,if(n%4,2*n,n),4*n))
%Y A084351 Cf. A084348.
%K A084351 nonn
%O A084351 1,2
%A A084351 _Benoit Cloitre_, Jun 22 2003

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