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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 (list; graph; refs; listen; history; text; internal format)
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 A216868

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

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Last modified September 11 06:28 EDT 2015. Contains 261519 sequences.