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A233454 Numbers n such that n^8 starts with n itself (in base 10). 7
0, 1, 2, 10, 14, 72, 100, 139, 518, 1000, 10000, 13895, 19307, 26827, 37276, 100000, 1000000, 10000000, 13894955, 26826958, 100000000, 193069773, 517947468, 1000000000, 1930697729, 10000000000, 100000000000, 268269579528, 1000000000000, 3727593720315 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..30.

EXAMPLE

2^8 = 256 begins with 2, so 2 is in the sequence.

MATHEMATICA

Select[Range@ 1000000, Take[IntegerDigits[#^8], IntegerLength@ #] == IntegerDigits@ # &] (* Michael De Vlieger, Aug 31 2015 *)

PROG

(PARI) r=88; print1(1, ", "); e=8; 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, A233453, A233455, A233456.

Sequence in context: A293931 A047043 A244268 * A065989 A299378 A031222

Adjacent sequences:  A233451 A233452 A233453 * A233455 A233456 A233457

KEYWORD

nonn,base,easy

AUTHOR

Arkadiusz Wesolowski, Dec 10 2013

STATUS

approved

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Last modified July 27 17:57 EDT 2021. Contains 346308 sequences. (Running on oeis4.)