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Automorphic numbers: n^2 ends with n in base 15 (written in base 10).
6

%I #13 Mar 23 2020 17:32:01

%S 0,1,6,10,100,126,1000,2376,4375,46251,156250,603126,3640626,7750000,

%T 19140625,151718751,835156251,1727734375,5960937501,32482421875,

%U 236621093751,340029296875,8413134765625,60784912109376,68961425781250,709516601562501,1236678466796875

%N Automorphic numbers: n^2 ends with n in base 15 (written in base 10).

%H Eric M. Schmidt, <a href="/A201921/b201921.txt">Table of n, a(n) for n = 1..1000</a>

%e a(3) = 6 = (6)_15 since 6^2 = 36 = (26)_15 ends with 6 in base 15.

%e a(4) = 10 = (A)_15 since 10^2 = 100 = (6A)_15 ends with A in base 15.

%e a(5) = 100 = (6A)_15 since 100^2 = 10000 = (2E6A)_15 ends with 6A in base 15.

%o (Sage) # See A003226. - _Eric M. Schmidt_, Feb 09 2014

%Y Cf. A003226, A201821, A201918, A201919, A201948, A237583.

%K nonn,base

%O 1,3

%A _Martin Renner_, Dec 06 2011

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