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A233452 Numbers n such that n^6 starts with n itself (in base 10). 7
0, 1, 4, 10, 16, 40, 100, 631, 1000, 1585, 2512, 10000, 15849, 25119, 100000, 1000000, 10000000, 15848932, 100000000, 1000000000, 6309573445, 10000000000, 100000000000, 251188643151, 1000000000000, 3981071705535, 6309573444802, 10000000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..28.

EXAMPLE

4^6 = 4096 begins with 4, so 4 is in the sequence.

PROG

(PARI) r=65; print1(1, ", "); e=6; 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, A233453, A233454, A233455, A233456.

Sequence in context: A172126 A025621 A056486 * A061682 A246882 A038240

Adjacent sequences:  A233449 A233450 A233451 * A233453 A233454 A233455

KEYWORD

nonn,base,easy

AUTHOR

Arkadiusz Wesolowski, Dec 10 2013

STATUS

approved

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Last modified July 25 12:15 EDT 2021. Contains 346290 sequences. (Running on oeis4.)