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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

Table of n, a(n) for n=1..27.

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.)