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 A233453 Numbers n such that n^7 starts with n itself (in base 10). 7
 0, 1, 10, 100, 1000, 6813, 10000, 14678, 46416, 100000, 146780, 464159, 1000000, 4641589, 10000000, 21544347, 68129207, 100000000, 1000000000, 10000000000, 100000000000, 316227766017, 681292069058, 1000000000000, 2154434690032, 10000000000000, 21544346900319 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS EXAMPLE 6813^7 = 681347587591081074493576917 begins with 6813, so 6813 is in the sequence. 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 Cf. A052210, A052211, A233451, A233452, A233454, A233455, A233456. Sequence in context: A228989 A072083 A029793 * A136877 A257969 A125904 Adjacent sequences:  A233450 A233451 A233452 * A233454 A233455 A233456 KEYWORD nonn,base,easy AUTHOR Arkadiusz Wesolowski, Dec 10 2013 STATUS approved

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Last modified September 27 08:39 EDT 2021. Contains 347689 sequences. (Running on oeis4.)