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| PROG
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(Python)
from fractions import Fraction
nums = [17, 78, 19, 23, 29, 77, 95, 77, 1, 11, 13, 15, 1, 55] # A202138
dens = [91, 85, 51, 38, 33, 29, 23, 19, 17, 13, 11, 2, 7, 1] # A203363
PRIMEGAME = [Fraction(num, den) for num, den in zip(nums, dens)]
def succ(n, program):
for i in range(len(program)):
if (n*program[i]).denominator == 1: return (n*program[i]).numerator
def fractran_orbit(start, program, steps):
orbit = [start]
for s in range(1, steps): orbit.append(succ(orbit[-1], program))
return orbit
print(fractran_orbit(2, PRIMEGAME, steps=42)) # Michael S. Branicky, Feb 15 2021
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