branching in p-morphics

[ZAKIRS]

%C A018247
<http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A
num=A018247>
 Is it known that these two automorphic numbers are distinct? - Zakir F.
Seidov (seidovzf at yahoo.com), Sep 19 2002 
%C A018248
<http://www.research.att.com/cgi-bin/access.cgi/as/njas/sequences/eisA.cgi?A
num=A018248> 
Is it known that these two automorphic numbers are distinct? - Zakir F.
Seidov (seidovzf at yahoo.com), Sep 19 2002 

 i think i don't understand ( due to my poor english?) this version of my
comment -
i didn't ask whether these two numbers are distinct (that is differ from
each other ?)
but whether they are unique. 

hence my q to seqfans:
Is it proved that each time, seeking for next digit,  one finds only one
solution?  

i mean that in principle it's possible that say 1427th digit may be say 3
and 8;
to be more clear -  this occurs e.g. in the case of trimorphic numbers:

A033819
Sequence:  1,4,5,6,9,24,25,49,51,75,76,99,125,249,251,375,376,499,501,
           624,625,749,751,875,999,1249,3751,4375,4999,5001,5625,6249,
           8751,9375,9376,9999,18751,31249,40625,49999,50001,59375,
           68751,81249,90624,90625
Name:      Trimorphic numbers: n^3 ends with n.,
  
 where 3-digit number 751 generates two 4-digit numbers 3751 & 8751,
and 4-digit number 1249 generates two 5-digit numbers 31249 & 81249, etc.

My q is: is  such a branching possible for automorphic numbers? yes or no?
ken o lo ?

many thanks,  zak

ps a quite another point : if there's reference to the classic text why keep
in SEQ comment like 
"somebody said me that he'd also found it some times ago".
it reminds me the old (sorry russian) joke that some renowned expert in
Pushkin's poetry
(if someone by any chance forgot - Pushkin is the great poet) yesterday
discovered   
 Pushkin's lyrics - unknown  to him before -  in... 5th volume of  Pushkin's
complete works! 

pps sorry for long mess