April 27 2007   1:55:45.702 PM
 
FOOTBALL_WAYS
  FORTRAN90 version
 
  This program determines the number of ways
  of achieving a particular score in football.
 
  We assume scoring options are:
 
  +2 for a safety;
  +3 for a field goal;
  +6 for a touchdown with no followup;
  +7 for a touchdown with a point bonus;
  +8 for a touchdown with two point conversion;
 
  If the other team forfeits, a token score of 1
  is assigned.
 
       N                  S(N)
 
       0                     1
       1                     1
       2                     1
       3                     1
       4                     1
       5                     2
       6                     3
       7                     4
       8                     7
       9                    10
      10                    14
      11                    21
      12                    30
      13                    44
      14                    65
      15                    95
      16                   140
      17                   205
      18                   300
      19                   440
      20                   644
      21                   944
      22                  1384
      23                  2028
      24                  2973
      25                  4357
      26                  6385
      27                  9358
      28                 13714
      29                 20099
      30                 29457
      31                 43171
      32                 63271
      33                 92728
      34                135899
      35                199170
      36                291897
      37                427796
      38                626966
      39                918863
      40               1346660
      41               1973626
      42               2892489
      43               4239149
      44               6212774
      45               9105263
      46              13344412
      47              19557186
      48              28662450
      49              42006862
      50              61564048
      51              90226498
      52             132233359
      53             193797407
      54             284023905
      55             416257264
      56             610054672
      57             894078577
      58            1310335841
      59            1920390513
      60            2814469089
      61            4124804930
      62            6045195443
      63            8859664532
      64           12984469463
      65           19029664906
      66           27889329438
      67           40873798901
      68           59903463806
      69           87792793244
      70          128666592145
      71          188570055951
      72          276362849196
      73          405029441341
      74          593599497292
      75          869962346488
      76         1274991787828
      77         1868591285120
      78         2738553631608
      79         4013545419436
      80         5882136704557
      81         8620690336165
      82        12634235755601
      83        18516372460158
      84        27137062796322
      85        39771298551923
      86        58287671012081
      87        85424733808403
      88       125196032360327
      89       183483703372408
      90       268908437180811
      91       394104469541138
      92       577588172913545
      93       846496610094356
      94      1240601079635494
      95      1818189252549039
      96      2664685862643396
      97      3905286942278890
      98      5723476194827929
      99      8388162057471325
     100     12293448999750214
 
FOOTBALL_WAYS
  Normal end of execution.
 
April 27 2007   1:55:45.703 PM