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Automorphic numbers n^2 ends with n in base 14 (written in base 10).
9

%I #15 Mar 05 2020 11:48:19

%S 0,1,7,8,49,148,344,2401,36016,151264,386561,1764736,5764801,46941952,

%T 58471553,374712065,1101076992,4802079233,15858967552,139825248256,

%U 149429406721,1595702681601,2453862488064,14602557997056,42091354378241,127990382747648

%N Automorphic numbers n^2 ends with n in base 14 (written in base 10).

%H Eric M. Schmidt, <a href="/A201919/b201919.txt">Table of n, a(n) for n = 1..1000</a>

%e a(3) = 7 = (7)_14 since 7^2 = 49 = (37)_14 ends with 7 in base 14.

%e a(4) = 8 = (8)_14 since 8^2 = 64 = (48)_14 ends with 8 in base 14.

%e a(5) = 49 = (37)_14 since 49^2 = 2401 = (C37)_14 ends with 37 in base 14.

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

%Y Cf. A003226, A201821, A201918, A201921, A201948, A237583.

%K nonn,base

%O 1,3

%A _Martin Renner_, Dec 06 2011

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