series of numbers

[jasong]

I'm not sure if you guys will think this is a legitimate(sp?) puzzle, but here goes. I'm going to list some numbers, starting with the first in the series, and I want you guys to tell me what the pattern is, and whether or not there are more numbers in the series:

332
208
143
118
96
89
81
78
73
68
67
63
62
61
59
59
57
56
56
54
54
53
52
52
51
51
50

[jasong]

Hints:

Consider the aspects of 2^n-1. Also, even though this puzzle has no connection to Mersenne numbers, Consider the numbers between P_9 and P_10 of the Mersenne equation, without modular arithmetic(think of the actual numbers). What commonly known number exists between them? This number has a very big connection to my series.

[jasong]

One more hint:

Each of the numbers is rounded down to the closest integer, and in their "pure" form it is technically impossible for any of the numbers to be a whole integer.

[cheesehead]

Originally Posted by jasong

Each of the numbers is rounded down to the closest integer, and in their "pure" form it is technically impossible for any of the numbers to be a whole integer.

Good grief!! You should have told us that at the beginning!!! Since GIMPS works on integers, it's natural for readers to assume that integers presented in puzzles are their exact values, not rounded approximations of nonintegers. Here I wasted all that time (at least 22 seconds!) wondering about the repeated values 59 59, 56 56, 54 54, 52 52, 51 51. (*snorts and turns elsewhere*)