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 A277121 Numbers that immediately halt Conway's FIBONACCIGAME. 0
 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, 61, 64, 67, 70, 71, 73, 77, 79, 80, 83, 88, 89, 94, 97, 98, 100, 101, 103, 106, 107, 109, 110, 112, 113, 118, 121, 122, 125, 127, 128, 131, 134, 137, 139, 140, 142, 146, 149, 151, 154, 157, 158 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS 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). 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. Hence this sequence includes all powers of 2 (A000079). Also all primes greater than 43. 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). Indeed the sequence contains no multiples of 17, 19, 23, 29, 31, 37 either. LINKS PROG (PARI) is(n)=gcd(16990599132039, n)==1 && n%65 && n%34 && n%69 && n%341 && n%287 \\ Charles R Greathouse IV, Nov 26 2016 CROSSREFS Cf. A275483/A275484. Sequence in context: A207336 A213539 A190849 * A325112 A102338 A285401 Adjacent sequences:  A277118 A277119 A277120 * A277122 A277123 A277124 KEYWORD nonn AUTHOR Alonso del Arte, Sep 30 2016 STATUS approved

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Last modified September 22 22:38 EDT 2021. Contains 347609 sequences. (Running on oeis4.)