signature sequence for e/pi.

Last modified Sunday, July 16, 2000 12:23 pm

signature sequence for e/pi.

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

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

shaft utilization: 1: 31% +++++++++++++++++++++++++++++++ 2: 26% ++++++++++++++++++++++++++ 3: 23% +++++++++++++++++++++++ 4: 20% ++++++++++++++++++++

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

shaft utilization: 1: 27% +++++++++++++++++++++++++++ 2: 23% +++++++++++++++++++++++ 3: 20% ++++++++++++++++++++ 4: 16% ++++++++++++++++ 5: 14% ++++++++++++++

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

shaft utilization: 1: 24% ++++++++++++++++++++++++ 2: 20% ++++++++++++++++++++ 3: 17% +++++++++++++++++ 4: 15% +++++++++++++++ 5: 13% +++++++++++++ 6: 11% +++++++++++

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

shaft utilization: 1: 22% ++++++++++++++++++++++ 2: 18% ++++++++++++++++++ 3: 16% ++++++++++++++++ 4: 14% ++++++++++++++ 5: 12% ++++++++++++ 6: 10% ++++++++++ 7: 8% ++++++++

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

shaft utilization: 1: 20% ++++++++++++++++++++ 2: 17% +++++++++++++++++ 3: 15% +++++++++++++++ 4: 13% +++++++++++++ 5: 11% +++++++++++ 6: 9% +++++++++ 7: 8% ++++++++ 8: 7% +++++++

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

shaft utilization: 1: 19% +++++++++++++++++++ 2: 16% ++++++++++++++++ 3: 14% ++++++++++++++ 4: 12% ++++++++++++ 5: 10% ++++++++++ 6: 9% +++++++++ 7: 8% ++++++++ 8: 7% +++++++ 9: 5% +++++

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

shaft utilization: 1: 18% ++++++++++++++++++ 2: 15% +++++++++++++++ 3: 13% +++++++++++++ 4: 11% +++++++++++ 5: 10% ++++++++++ 6: 9% +++++++++ 7: 8% ++++++++ 8: 7% +++++++ 9: 5% +++++ 10: 4% ++++

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

shaft utilization: 1: 17% +++++++++++++++++ 2: 14% ++++++++++++++ 3: 12% ++++++++++++ 4: 11% +++++++++++ 5: 10% ++++++++++ 6: 9% +++++++++ 7: 8% ++++++++ 8: 7% +++++++ 9: 5% +++++ 10: 4% ++++ 11: 3% +++

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

shaft utilization: 1: 16% ++++++++++++++++ 2: 13% +++++++++++++ 3: 12% ++++++++++++ 4: 11% +++++++++++ 5: 10% ++++++++++ 6: 9% +++++++++ 7: 8% ++++++++ 8: 7% +++++++ 9: 5% +++++ 10: 4% ++++ 11: 3% +++ 12: 2% ++

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

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

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

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

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


shaft utilization:

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

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e-mail: ralph@cs.arizona.edu

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