Sequence Commonality Stats

[N. J. A. Sloane]

such averages are misleading!
there are clusters of sequences around common
beginnings like
1 2 3 4 5 6
and
2 3 5 7
where large numbers of sequences all begin the same way

but for random starts, like
344343434343 22319889 2243434465868675757 2333320090989464656
there are zero sequences

it is such a mixed database that averages don't make sense

probability theory is best used in homoegeneous data sets
like die-tossing records where there is an underlying
random process.

keep in mind what Einstein said: God does not play dice with 
the OEIS

NJAS