A076935 - OEIS

%I #5 Mar 30 2012 18:39:10

%S 1,1,2,2,3,4,4,5,5,6,7,7,8,9,9,10,10,11,12,12,13,13,14,15,15,16,17,17,

%T 18,18,19,20,20,21,21,22,22,23,23,24,25,25,26,26,27,28,28,29,30,30,31,

%U 31,32,33,33,34,34,35,35,36,37,37,38,39,39,40,40,41,42,42,43,43,44,44

%N a(1)=1, a(n)=n-a(n-1)+a(a(n-1))-a(a(a(n-1)))+a(a(a(a(n-1))))-a(a(a(a(a(n-1))))).

%F Conjecture: let c be the real root of 1-2*x+x^2-x^3+x^4-x^5, c=0.5974970086825179626770716964446..., then a(n)=floor(cn) +0 /+ 1

%K nonn

%O 1,3

%A _Benoit Cloitre_, Nov 27 2002