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%I #17 Nov 27 2016 15:53:07
%S 1,2,4,5,7,8,10,11,14,16,20,22,25,28,32,35,40,44,47,49,50,53,55,56,59,
%T 61,64,67,70,71,73,77,79,80,83,88,89,94,97,98,100,101,103,106,107,109,
%U 110,112,113,118,121,122,125,127,128,131,134,137,139,140,142,146,149,151,154,157,158
%N Numbers that immediately halt Conway's FIBONACCIGAME.
%C Like PRIMEGAME, Conway's FIBONACCIGAME uses a list of fractions to come up with a sequence expressed as exponents of powers of 2, the sequence in this case being the Fibonacci numbers (A000045, see A000301).
%C Unlike PRIMEGAME, FIBONACCIGAME does not have any integers in its list of rational numbers, which means that the process always comes to a halt, sooner or later, depending on the initial value.
%C Hence this sequence includes all powers of 2 (A000079). Also all primes greater than 43.
%C However, this sequence includes no multiples of 13 (as they can be handled by 17/65 or 1/13), nor any multiples of 3 (as they're taken care of by 1/3).
%C Indeed the sequence contains no multiples of 17, 19, 23, 29, 31, 37 either.
%o (PARI) is(n)=gcd(16990599132039,n)==1 && n%65 && n%34 && n%69 && n%341 && n%287 \\ _Charles R Greathouse IV_, Nov 26 2016
%Y Cf. A275483/A275484.
%K nonn
%O 1,2
%A _Alonso del Arte_, Sep 30 2016