OFFSET
1,3
EXAMPLE
6813^7 = 681347587591081074493576917 begins with 6813, so 6813 is in the sequence.
MATHEMATICA
Join[{0}, Select[Range[0, 5*10^6], IntegerDigits[#]==Take[IntegerDigits[ #^7], IntegerLength[ #]]&]] (* The program generates the first 14 terms of the sequence. To generate more, increase the Range constant. *) (* Harvey P. Dale, Mar 31 2022 *)
PROG
(PARI) r=80; print1(1, ", "); e=7; for(n=2, r, p=round((10^(1/(e-1)))^n); f=p^e; b=10^(#Str(f)-#Str(p)); if((f-lift(Mod(f, b)))/b==p, print1(p, ", ")));
CROSSREFS
KEYWORD
nonn,base,easy
AUTHOR
Arkadiusz Wesolowski, Dec 10 2013
EXTENSIONS
0 inserted by Juhani Heino, Aug 31 2015
STATUS
approved