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A233451 Numbers n such that n^5 starts with n itself (in base 10). 7
0, 1, 10, 18, 100, 178, 1000, 10000, 17783, 31623, 100000, 177828, 316228, 1000000, 10000000, 100000000, 1000000000, 5623413252, 10000000000, 100000000000, 177827941004, 316227766017, 1000000000000, 1778279410039, 10000000000000, 31622776601684 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..26.

EXAMPLE

18^5 = 1889568 begins with 18, so 18 is in the sequence.

PROG

(PARI) r=54; print1(1, ", "); e=5; 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, A233452, A233453, A233454, A233455, A233456.

Sequence in context: A198309 A167342 A288781 * A177172 A171767 A153689

Adjacent sequences:  A233448 A233449 A233450 * A233452 A233453 A233454

KEYWORD

nonn,base,easy

AUTHOR

Arkadiusz Wesolowski, Dec 10 2013

STATUS

approved

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Last modified September 17 16:17 EDT 2021. Contains 347487 sequences. (Running on oeis4.)