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Trimorphic but not bimorphic nor automorphic.
0

%I #7 Apr 12 2022 22:22:29

%S 4,9,24,49,51,75,99,125,249,251,375,499,501,624,749,751,875,999,1249,

%T 3751,4375,4999,5001,5625,6249,8751,9375,9999,18751,31249,40625,49999,

%U 50001,59375,68751,81249,90624,99999,109375,218751,281249,390625,499999

%N Trimorphic but not bimorphic nor automorphic.

%t Do[x=Floor[N[Log[10, n],25]]+1; If[Mod[n^3, 10^x] == n,If[Mod[n^2, 10^x]!= n, Print[n]]], {n,5*10^5}]

%Y Cf. A003226 and A033819.

%K easy,nonn

%O 1,1

%A _Robert G. Wilson v_, Jul 24 2000

%E Missing a(41) inserted by _Sean A. Irvine_, Apr 12 2022