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A Convergence of the Muller’s Sequence
Universal Journal of Computer Sciences and Communications
| Vol 4, Issue 1
Table 1. The mathematical and Pythonprogram’s results for first 30 values of the Muller’s sequence
| n | Exact value | Approximate value | Python |
| 1 | 2 | 2.0000000000 | 2.0000000000 |
| 2 | -4 | -4.0000000000 | -4.0000000000 |
| 3 | 37/2 | 18.5000000000 | 18.5000000000 |
| 4 | 347 / 37 | 9.3783783784 | 9.3783783784 |
| 5 | 2707 / 347 | 7.8011527378 | 7.8011527378 |
| 6 | 19367 / 2707 | 7.1544144810 | 7.1544144810 |
| 7 | 131827 / 19367 | 6.8067847369 | 6.8067847369 |
| 8 | 869087 / 131827 | 6.5926327687 | 6.5926327687 |
| 9 | 5605147 / 869087 | 6.4494659338 | 6.4494659339 |
| 10 | 35584007 / 5605147 | 6.3484520567 | 6.3484520587 |
| 11 | 223269667 / 35584007 | 6.2744385982 | 6.2744386301 |
| 12 | 1388446127 / 223269667 | 6.2186957398 | 6.2186962479 |
| 13 | 8574817387 / 1388446127 | 6.1758373049 | 6.1758454797 |
| 14 | 52669607447 / 8574817387 | 6.1423590812 | 6.1424914958 |
| 15 | 322121160307 / 52669607447 | 6.1158830666 | 6.1180393880 |
| 16 | 1963244539967 / 322121160307 | 6.0947394393 | 6.1299926795 |
| 17 | 11932055130427 / 1963244539967 | 6.0777223048 | 6.6529208479 |
| 18 | 72355270235687 / 11932055130427 | 6.0639403225 | 14.7110136879 |
| 19 | 437946318679747 / 72355270235687 | 6.0527217610 | 64.8393305454 |
| 20 | 2646751398406607 / 437946318679747 | 6.0435521102 | 96.7174472768 |
| 21 | 15975875822080267 / 2646751398406607 | 6.0360318811 | 99.7948677633 |
| 22 | 96332092090684727 / 15975875822080267 | 6.0298473250 | 99.9875918848 |
| 23 | 580376738335123987 / 96332092090684727 | 6.0247496524 | 99.9992516762 |
| 24 | 3494181358965822047 / 580376738335123987 | 6.0205399841 | 99.9999549130 |
| 25 | 21024692798570322907 / 3494181358965822047 | 6.0170582573 | 99.9999972854 |
| 26 | 126446180015298890567 / 21024692798570322907 | 6.0141749146 | 99.9999998367 |
| 27 | 760167196211178109027 / 126446180015298890567 | 6.0117845879 | 99.9999999902 |
| 28 | 4568453757863992482287 / 760167196211178109027 | 6.0098012393 | 99.9999999994 |
| 29 | 27447975450168574034347 / 4568453757863992482287 | 6.0081543789 | 100.0000000000 |
| 30 | 164874117215934539909207 / 27447975450168574034347 | 6.0067860930 | 100.0000000000 |