Infinite Motel

[Hugo Pfoertner]

Ray Chandler wrote:
> 
> My results agree with Jack's:
> 
> {1, 2, 13, 3, 6, 26, 4, 11, 205, 9, 5, 24, 7, 51, 22, 102, 20, 49, 18, 8, \
> 410, 10, 16, 12, 47, 14, 100, 45, 203, 43, 98, 41, 3277, 39, 96, 37, 201, 35, \
> 94, 15, 33, 17, 408, 19, 31, 21, 92, 23, 29, 25, 199, 27, 90, 819, 88, 197, \
> 86, 406, 84, 195, 82, 1638, 80, 193, 78, 404, 76, 191, 74, 817, 72, 189, 70, \
> 402, 68, 187, 66, 6554, 28, 64, 30, 185, 32, 62, 34, 400, 36, 60, 38, 183, \
> 40, 58, 42, 815, 44, 56, 46, 181, 48, 54}
> 

I get the same numbers, using a short Fortran program written from
scratch:

      1      2     13      3      6     26      4     11    205      9
      5     24      7     51     22    102     20     49     18      8
    410     10     16     12     47     14    100     45    203     43
     98     41   3277     39     96     37    201     35     94     15
     33     17    408     19     31     21     92     23     29     25
    199     27     90    819     88    197     86    406     84    195
     82   1638     80    193     78    404     76    191     74    817
     72    189     70    402     68    187     66   6554     28     64
     30    185     32     62     34    400     36     60     38    183
     40     58     42    815     44     56     46    181     48     54
     50    398     52    179   1636    177    396    175    813    173
    394    171   3275    169    392    167    811    165    390    163
   1634    161    388    159    809    157    386    155    ???    153
    384    151    807    149    382    147   1632    145    380    143
    805    141    378    139   3273    137    376    135    803    133
    374    131   1630    129     53    372     55    127     57    801
     59    125     61    370     63    123     65   6552     67    121
     69    368     71    119     73    799     75    117     77    366
     79    115     81   1628     83    113     85    364     87    111
     89    797     91    109     93    362     95    107     97   3271

but: can someone compute a(129)?

Hugo Pfoertner