Research Article
The Collatz Problem in the Light of an Infinite Free Semigroup
Table 9
True and approximate length of
-series.
| | | | | | | Dev. |
| 1000.0915 | 16045 | 8027 | −0.001121 | 24072 | 24014 | −0.24 | 2000.0915 | 32744 | 16467 | −0.011538 | 49211 | 48026 | −2.41 | 3000.0915 | 47904 | 23936 | 0.001337 | 71840 | 72037 | 0.27 | 4000.0915 | 64920 | 32576 | −0.007122 | 97496 | 96049 | −1.48 | 5000.0915 | 79595 | 39739 | 0.002944 | 119334 | 120061 | 0.61 |
| 6000.0915 | 97665 | 49044 | −0.008625 | 146709 | 144073 | −1.80 | 7000.0915 | 111332 | 55571 | 0.003419 | 166903 | 168085 | 0.71 | 8000.0915 | 128275 | 64165 | −0.000857 | 192440 | 192096 | −0.18 | 9000.0915 | 148675 | 74940 | −0.016079 | 223615 | 216108 | −3.36 | 10000.0915 | 162678 | 81679 | −0.008325 | 244357 | 240120 | −1.73 |
| 11000.0915 | 178873 | 89801 | −0.008118 | 268674 | 264132 | −1.69 | 12000.0915 | 190814 | 95239 | 0.003528 | 286053 | 288143 | 0.73 | 13000.0915 | 211049 | 105910 | −0.007280 | 316959 | 312155 | −1.52 | 14000.0915 | 227160 | 113979 | −0.007001 | 341139 | 336167 | −1.46 | 15000.0915 | 239987 | 119976 | 0.000292 | 359963 | 360179 | 0.06 |
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