

A201821


Automorphic numbers: n^2 ends with n in base 6 (written in base 6).


9



0, 1, 3, 4, 13, 44, 213, 344, 5344, 50213, 205344, 350213, 1350213, 4205344, 21350213, 34205344, 221350213, 334205344, 2221350213, 3334205344, 52221350213, 152221350213, 403334205344, 5152221350213, 55152221350213, 155152221350213, 400403334205344
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OFFSET

1,3


REFERENCES

Albert H. Beiler, Recreations in the theory of numbers, New York, Dover, (2nd ed.) 1966, p. 147.
Maurice Kraitchik, Mathematical Recreations, New York, Dover, (2nd ed.) 1953, p. 77.


LINKS

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


EXAMPLE

a(3) = (3)_6 = 3 since 3^2 = 9 = (13)_6 ends with 3 in base 6.
a(4) = (4)_6 = 4 since 4^2 = 16 = (24)_6 ends with 4 in base 6.
a(5) = (13)_6 = 9 since 9^2 = 81 = (213)_6 ends with 13 in base 6.


CROSSREFS

Cf. A237583 (written in base 10), A003226, A201918, A201919, A201921, A201948.
Sequence in context: A194649 A062165 A243764 * A001056 A122151 A294384
Adjacent sequences: A201818 A201819 A201820 * A201822 A201823 A201824


KEYWORD

nonn,base


AUTHOR

Martin Renner, Dec 06 2011


EXTENSIONS

More terms from Eric M. Schmidt, Feb 09 2014


STATUS

approved



