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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

nExact valueApproximate value Python
122.00000000002.0000000000
2-4-4.0000000000-4.0000000000
337/218.500000000018.5000000000
4347 / 379.37837837849.3783783784
52707 / 3477.80115273787.8011527378
619367 / 27077.15441448107.1544144810
7131827 / 193676.80678473696.8067847369
8869087 / 1318276.59263276876.5926327687
95605147 / 8690876.44946593386.4494659339
1035584007 / 56051476.34845205676.3484520587
11223269667 / 355840076.27443859826.2744386301
121388446127 / 2232696676.21869573986.2186962479
138574817387 / 13884461276.17583730496.1758454797
1452669607447 / 85748173876.14235908126.1424914958
15322121160307 / 526696074476.11588306666.1180393880
161963244539967 / 3221211603076.09473943936.1299926795
1711932055130427 / 19632445399676.0777223048 6.6529208479
1872355270235687 / 119320551304276.063940322514.7110136879
19437946318679747 / 723552702356876.052721761064.8393305454
202646751398406607 / 4379463186797476.043552110296.7174472768
2115975875822080267 / 26467513984066076.036031881199.7948677633
2296332092090684727 / 159758758220802676.029847325099.9875918848
23580376738335123987 / 963320920906847276.024749652499.9992516762
243494181358965822047 / 5803767383351239876.020539984199.9999549130
2521024692798570322907 / 34941813589658220476.017058257399.9999972854
26126446180015298890567 / 210246927985703229076.014174914699.9999998367
27760167196211178109027 / 1264461800152988905676.011784587999.9999999902
284568453757863992482287 / 7601671962111781090276.009801239399.9999999994
2927447975450168574034347 / 45684537578639924822876.0081543789100.0000000000
30164874117215934539909207 / 274479754501685740343476.0067860930100.0000000000