is there some program that take random sequence of input, and gives some idea about the relation between the..

Question

between the sequences?
no repetition
example : input: 1 2 3 21 14 23
input: 2 4 5 32 21 43
output: ... you catch my drift....

Answer 1

very simply, there is no such program that can do that for ANY sequence. You can train the program to analyse specific type of sequences, but it cant be exhaustive.
Its actually very easy to see why
- The program is only at most as intelligent as the author of the same. Another person can input some sequence that the author may have not thought of, so the program can't crack it

Sometimes, it is not even a case of whether the program can identify the sequence. It may actually be a case of how long the program takes to identify the sequence. If assume the program needs like 5 years to identify the sequence, it is of no value to anyone.

I am mostly being simplistic here, but random number sequences of the type that you and I are discussing here are the cornerstone of encryption technologies of the world. Basically, if a message looks like gibberish to us (and to a program), and it has not been encrypted in a simple manner, chances are, the program in question can not crack it, and so the message is secure.