language: Python (python 2.7.3)
date: 508 days 23 hours ago
link:
visibility: public
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import itertools
from fractions import Fraction
 
def series(u0=Fraction(3, 2), u1=Fraction(5, 3)):
    yield u0
    yield u1
    while u0 != u1:
        un = 2003 - 6002/u1 + 4000/(u1*u0)
        yield un
        u1, u0 = un, u1
 
for i, u in enumerate(itertools.islice(series(), 100)):
    err = (2-u)/2 # relative error
    print("%d\t%.2g" % (i, err))
 
  • upload with new input
  • result: Success     time: 0.04s    memory: 6760 kB     returned value: 0

    0	0.25
    1	0.17
    2	0.1
    3	0.056
    4	0.029
    5	0.015
    6	0.0077
    7	0.0039
    8	0.0019
    9	0.00097
    10	0.00049
    11	0.00024
    12	0.00012
    13	6.1e-05
    14	3.1e-05
    15	1.5e-05
    16	7.6e-06
    17	3.8e-06
    18	1.9e-06
    19	9.5e-07
    20	4.8e-07
    21	2.4e-07
    22	1.2e-07
    23	6e-08
    24	3e-08
    25	1.5e-08
    26	7.5e-09
    27	3.7e-09
    28	1.9e-09
    29	9.3e-10
    30	4.7e-10
    31	2.3e-10
    32	1.2e-10
    33	5.8e-11
    34	2.9e-11
    35	1.5e-11
    36	7.3e-12
    37	3.6e-12
    38	1.8e-12
    39	9.1e-13
    40	4.5e-13
    41	2.3e-13
    42	1.1e-13
    43	5.7e-14
    44	2.8e-14
    45	1.4e-14
    46	7.1e-15
    47	3.6e-15
    48	1.8e-15
    49	8.9e-16
    50	4.4e-16
    51	2.2e-16
    52	1.1e-16
    53	5.6e-17
    54	2.8e-17
    55	1.4e-17
    56	6.9e-18
    57	3.5e-18
    58	1.7e-18
    59	8.7e-19
    60	4.3e-19
    61	2.2e-19
    62	1.1e-19
    63	5.4e-20
    64	2.7e-20
    65	1.4e-20
    66	6.8e-21
    67	3.4e-21
    68	1.7e-21
    69	8.5e-22
    70	4.2e-22
    71	2.1e-22
    72	1.1e-22
    73	5.3e-23
    74	2.6e-23
    75	1.3e-23
    76	6.6e-24
    77	3.3e-24
    78	1.7e-24
    79	8.3e-25
    80	4.1e-25
    81	2.1e-25
    82	1e-25
    83	5.2e-26
    84	2.6e-26
    85	1.3e-26
    86	6.5e-27
    87	3.2e-27
    88	1.6e-27
    89	8.1e-28
    90	4e-28
    91	2e-28
    92	1e-28
    93	5e-29
    94	2.5e-29
    95	1.3e-29
    96	6.3e-30
    97	3.2e-30
    98	1.6e-30
    99	7.9e-31