Function fits with combinations

*To*: mathgroup at smc.vnet.net*Subject*: [mg122925] Function fits with combinations*From*: richardmathur <rickarrano at gmail.com>*Date*: Wed, 16 Nov 2011 04:46:35 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hello, I've been attempting to use Wolfram to help me identify a function but after playing with "fit" it keeps giving me linear/quadratic/etc. solutions and I am sure that the function generating my data is using combinations. I have a series of n length/m length pairs and I've been generating alignments between the two, and in the first segment of the pair any character can map to 1-3 chars of the latter. The number of alignments is as follows: 3,3 = 1 3,4 = 3 3,5 = 6 3,6 = 7 3,7 = 6 3,8 = 3 3,9 = 1 4,4 = 1 4,5 = 4 4,6 = 10 4,7 = 16 4,8 = 19 4,9 = 16 4,10 = 10 4,11 = 4 4,12 = 1 5,5 = 1 5,6 = 5 5,7 = 15 5,8 = 30 5,9 = 45 5,10 = 51 5,11 = 45 5,12 = 30 5,13 = 15 5,14 = 5 5,15 = 1 Can anyone help me to either identify the function in question or figure out how to point to Wolfram that it almost certainly has to do with combinations? Thanks, Richard