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Automorphic numbers: n^2 ends with n in base 6 (written in base 6).
9

%I #24 Mar 10 2014 04:24:28

%S 0,1,3,4,13,44,213,344,5344,50213,205344,350213,1350213,4205344,

%T 21350213,34205344,221350213,334205344,2221350213,3334205344,

%U 52221350213,152221350213,403334205344,5152221350213,55152221350213,155152221350213,400403334205344

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

%D Albert H. Beiler, Recreations in the theory of numbers, New York, Dover, (2nd ed.) 1966, p. 147.

%D Maurice Kraitchik, Mathematical Recreations, New York, Dover, (2nd ed.) 1953, p. 77.

%e a(3) = (3)_6 = 3 since 3^2 = 9 = (13)_6 ends with 3 in base 6.

%e a(4) = (4)_6 = 4 since 4^2 = 16 = (24)_6 ends with 4 in base 6.

%e a(5) = (13)_6 = 9 since 9^2 = 81 = (213)_6 ends with 13 in base 6.

%Y Cf. A237583 (written in base 10), A003226, A201918, A201919, A201921, A201948.

%K nonn,base

%O 1,3

%A _Martin Renner_, Dec 06 2011

%E More terms from _Eric M. Schmidt_, Feb 09 2014