i repetitions of i.

Last modified Tuesday, January 11, 2000 5:03 pm

i repetitions of i.

1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,
9,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,
12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,...

s=4:
no period detected 1,2,2,3,3,3,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1, 1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1, 1,1,1,2,2,2,2,2,2,2,2,2,...

shaft utilization: 1: 28% ++++++++++++++++++++++++++++ 2: 27% +++++++++++++++++++++++++++ 3: 21% +++++++++++++++++++++ 4: 24% ++++++++++++++++++++++++

s=5:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4, 4,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3, 3,3,3,4,4,4,4,4,4,4,4,4,...

shaft utilization: 1: 18% ++++++++++++++++++ 2: 21% +++++++++++++++++++++ 3: 24% ++++++++++++++++++++++++ 4: 22% ++++++++++++++++++++++ 5: 15% +++++++++++++++

s=6:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3, 3,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,1,1,1, 1,1,1,2,2,2,2,2,2,2,2,2,...

shaft utilization: 1: 21% +++++++++++++++++++++ 2: 19% +++++++++++++++++++ 3: 12% ++++++++++++ 4: 14% ++++++++++++++ 5: 16% ++++++++++++++++ 6: 18% ++++++++++++++++++

s=7:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2, 2,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6, 6,6,6,7,7,7,7,7,7,7,7,7,...

shaft utilization: 1: 9% +++++++++ 2: 11% +++++++++++ 3: 13% +++++++++++++ 4: 15% +++++++++++++++ 5: 17% +++++++++++++++++ 6: 19% +++++++++++++++++++ 7: 16% ++++++++++++++++

s=8:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1, 1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5, 5,5,5,6,6,6,6,6,6,6,6,6,...

shaft utilization: 1: 10% ++++++++++ 2: 12% ++++++++++++ 3: 14% ++++++++++++++ 4: 16% ++++++++++++++++ 5: 18% ++++++++++++++++++ 6: 15% +++++++++++++++ 7: 7% +++++++ 8: 8% ++++++++

s=9:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9, 9,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4, 4,4,4,5,5,5,5,5,5,5,5,5,...

shaft utilization: 1: 11% +++++++++++ 2: 13% +++++++++++++ 3: 15% +++++++++++++++ 4: 17% +++++++++++++++++ 5: 14% ++++++++++++++ 6: 6% ++++++ 7: 7% +++++++ 8: 8% ++++++++ 9: 9% +++++++++

s=10:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9, 9,10,10,10,10,10,10,10,10,10,10,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3, 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,...

shaft utilization: 1: 12% ++++++++++++ 2: 14% ++++++++++++++ 3: 16% ++++++++++++++++ 4: 13% +++++++++++++ 5: 5% +++++ 6: 6% ++++++ 7: 7% +++++++ 8: 8% ++++++++ 9: 9% +++++++++ 10: 10% ++++++++++

s=11:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9, 9,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,1,1,1,1,1,1,1,1,1,1,1,1, 2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,...

shaft utilization: 1: 13% +++++++++++++ 2: 15% +++++++++++++++ 3: 12% ++++++++++++ 4: 4% ++++ 5: 5% +++++ 6: 6% ++++++ 7: 7% +++++++ 8: 8% ++++++++ 9: 9% +++++++++ 10: 10% ++++++++++ 11: 11% +++++++++++

s=12:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9, 9,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12, 12,12,12,12,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,...

shaft utilization: 1: 14% ++++++++++++++ 2: 11% +++++++++++ 3: 3% +++ 4: 4% ++++ 5: 5% +++++ 6: 6% ++++++ 7: 7% +++++++ 8: 8% ++++++++ 9: 9% +++++++++ 10: 10% ++++++++++ 11: 11% +++++++++++ 12: 12% ++++++++++++

s=13:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9, 9,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12, 12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,1,1,1,1,1,1,1,1,1,...

shaft utilization: 1: 10% ++++++++++ 2: 2% ++ 3: 3% +++ 4: 4% ++++ 5: 5% +++++ 6: 6% ++++++ 7: 7% +++++++ 8: 8% ++++++++ 9: 9% +++++++++ 10: 10% ++++++++++ 11: 11% +++++++++++ 12: 12% ++++++++++++ 13: 13% +++++++++++++

s=14:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9, 9,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12, 12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,...

shaft utilization: 1: 1% + 2: 2% ++ 3: 3% +++ 4: 4% ++++ 5: 5% +++++ 6: 6% ++++++ 7: 7% +++++++ 8: 8% ++++++++ 9: 9% +++++++++ 10: 10% ++++++++++ 11: 11% +++++++++++ 12: 12% ++++++++++++ 13: 13% +++++++++++++ 14: 9% +++++++++

s=15:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9, 9,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12, 12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,...

s=16:
no period detected 1,2,2,3,3,3,4,4,4,4,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9, 9,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12, 12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,...


shaft utilization:

    1:   1%  +
    2:   2%  ++
    3:   3%  +++
    4:   4%  ++++
    5:   5%  +++++
    6:   6%  ++++++
    7:   7%  +++++++
    8:   8%  ++++++++
    9:   9%  +++++++++
   10:  10%  ++++++++++
   11:  11%  +++++++++++
   12:  12%  ++++++++++++
   13:  13%  +++++++++++++
   14:   9%  +++++++++
   15:   0%  
   16:   0%

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e-mail: ralph@cs.arizona.edu

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