# Data Output
# For most of these runs, I also had the program print each sequence that did not approach
# any polynomial.  I starred the ones with a readily apparent fibonacci-like sequence past
# a certain point.

# This first one was run on an earlier version, so it didn't print the non-polynomial sequence.
Receive(12,13,50,n)
We tested , 50,  sets of , 12,  permutations for the number of satisfying sequences of length n.
    13,  of them went to 0 in the limit.  Of the remainder:
       19,  of them approached a polynomial of degree , 0
       15,  of them approached a polynomial of degree , 1
       2,  of them approached a polynomial of degree , 2
 1,  of them did not approach a polynomial within , 13,  steps.

Receive(12,13,50,n)
     [1, 2, 6, 12, 12, 20, 32, 52, 84, 136, 220, 356, 576] *
   [1, 2, 6, 12, 19, 32, 59, 108, 199, 366, 673, 1238, 2277]
   [1, 2, 6, 12, 18, 32, 59, 109, 201, 370, 681, 1253, 2305]
We tested , 50,  sets of , 12,  permutations for the number of satisfying sequences of length n.
    16,  of them went to 0 in the limit.  Of the remainder:
       14,  of them approached a polynomial of degree , 0
       13,  of them approached a polynomial of degree , 1
       2,  of them approached a polynomial of degree , 2
       2,  of them approached a polynomial of degree , 3
 3,  of them did not approach a polynomial within , 13,  steps.

Receive(12,13,50,n)
     [1, 2, 6, 12, 15, 21, 34, 55, 89, 144, 233, 377, 610]*
     [1, 2, 6, 12, 18, 26, 39, 60, 94, 149, 238, 382, 615]*
We tested , 50,  sets of , 12,  permutations for the number of satisfying sequences of length n.
     7,  of them went to 0 in the limit.  Of the remainder:
       17,  of them approached a polynomial of degree , 0
       18,  of them approached a polynomial of degree , 1
       6,  of them approached a polynomial of degree , 2
 2,  of them did not approach a polynomial within , 13,  steps.

Receive(12,13,50,n)
    [1, 2, 6, 12, 20, 33, 56, 99, 178, 323, 590, 1081, 1984]
   [1, 2, 6, 12, 19, 35, 67, 131, 259, 515, 1027, 2051, 4099]
     [1, 2, 6, 12, 19, 32, 52, 85, 138, 224, 363, 588, 952]*
We tested , 50,  sets of , 12,  permutations for the number of satisfying sequences of length n.
     9,  of them went to 0 in the limit.  Of the remainder:
       16,  of them approached a polynomial of degree , 0
       15,  of them approached a polynomial of degree , 1
       6,  of them approached a polynomial of degree , 2
       1,  of them approached a polynomial of degree , 7
 3,  of them did not approach a polynomial within , 13,  steps.

Receive(12,13,120,n)
     [1, 2, 6, 12, 13, 19, 31, 50, 81, 131, 212, 343, 555]*
     [1, 2, 6, 12, 17, 25, 37, 55, 83, 127, 197, 309, 489]*
     [1, 2, 6, 12, 19, 30, 47, 74, 117, 186, 297, 476, 765]*
   [1, 2, 6, 12, 21, 39, 72, 132, 243, 447, 822, 1512, 2781]
     [1, 2, 6, 12, 13, 20, 32, 52, 84, 136, 220, 356, 576]*
We tested , 120,  sets of , 12,  permutations for the number of satisfying sequences of length n.
    31,  of them went to 0 in the limit.  Of the remainder:
       38,  of them approached a polynomial of degree , 0
       33,  of them approached a polynomial of degree , 1
       13,  of them approached a polynomial of degree , 2
 5,  of them did not approach a polynomial within , 13,  steps.

Receive(12,13,250,n)
     [1, 2, 6, 12, 15, 23, 37, 60, 97, 157, 254, 411, 665]*
     [1, 2, 6, 12, 17, 26, 42, 68, 110, 178, 288, 466, 754]*
     [1, 2, 6, 12, 19, 32, 53, 87, 142, 231, 375, 608, 985]*
     [1, 2, 6, 12, 19, 31, 49, 77, 121, 191, 303, 483, 773]*
     [1, 2, 6, 12, 18, 31, 51, 83, 135, 219, 355, 575, 931]*
   [1, 2, 6, 12, 22, 40, 74, 140, 270, 528, 1042, 2068, 4118]
     [1, 2, 6, 12, 18, 30, 48, 78, 126, 204, 330, 534, 864]*
     [1, 2, 6, 12, 18, 30, 48, 78, 126, 204, 330, 534, 864]*
We tested , 250,  sets of , 12,  permutations for the number of satisfying sequences of length n.
    63,  of them went to 0 in the limit.  Of the remainder:
       78,  of them approached a polynomial of degree , 0
       81,  of them approached a polynomial of degree , 1
       20,  of them approached a polynomial of degree , 2
 8,  of them did not approach a polynomial within , 13,  steps.

Receive(12,13,250,n)
  [1, 2, 6, 12, 24, 52, 110, 232, 492, 1042, 2206, 4672, 9894]
     [1, 2, 6, 12, 17, 27, 43, 69, 111, 179, 289, 467, 755]*
    [1, 2, 6, 12, 13, 24, 44, 81, 149, 274, 504, 927, 1705]
     [1, 2, 6, 12, 17, 27, 43, 69, 111, 179, 289, 467, 755]*
   [1, 2, 6, 12, 20, 37, 69, 126, 232, 427, 785, 1444, 2656]
     [1, 2, 6, 12, 18, 26, 39, 60, 94, 149, 238, 382, 615]*
   [1, 2, 6, 12, 20, 40, 80, 160, 320, 640, 1280, 2560, 5120] # These two are amusing.
   [1, 2, 6, 12, 19, 35, 67, 131, 259, 515, 1027, 2051, 4099]
     [1, 2, 6, 12, 18, 29, 47, 76, 123, 199, 322, 521, 843]*
  [1, 2, 6, 12, 24, 51, 107, 222, 457, 935, 1904, 3863, 7815]
     [1, 2, 6, 12, 13, 21, 34, 55, 89, 144, 233, 377, 610]*
     [1, 2, 6, 12, 15, 18, 28, 44, 70, 112, 180, 290, 468]*
We tested , 250,  sets of , 12,  permutations for the number of satisfying sequences of length n.
    52,  of them went to 0 in the limit.  Of the remainder:
       85,  of them approached a polynomial of degree , 0
       83,  of them approached a polynomial of degree , 1
       17,  of them approached a polynomial of degree , 2
       1,  of them approached a polynomial of degree , 3
12,  of them did not approach a polynomial within , 13,  steps.