

A205770


Powers of fifth root of 100, rounded to the nearest integer.


1



1, 3, 6, 16, 40, 100, 251, 631, 1585, 3981, 10000, 25119, 63096, 158489, 398107, 1000000, 2511886, 6309573, 15848932, 39810717, 100000000, 251188643, 630957344, 1584893192, 3981071706, 10000000000, 25118864315, 63095734448, 158489319246, 398107170553, 1000000000000
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OFFSET

0,2


COMMENTS

The fifth root of 100, known as Pogson's ratio, is the ratio between successive stellar magnitudes.


LINKS



MATHEMATICA

Table[Round[100^(n/5)], {n, 0, 30}] (* G. C. Greubel, Jan 14 2018 *)


PROG

(Python)
from gmpy2 import iroot
m = 100**n
i = iroot(m, 5)[0]
return int(i) + int(32*m >= (1+2*i)**5) # Chai Wah Wu, Aug 16 2016
(Magma) [Round(100^(n/5)): n in [0..30]]; // G. C. Greubel, Jan 14 2018


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



