A056033 5-morphic but not bimorphic nor automorphic.
2, 3, 4, 7, 8, 9, 24, 32, 43, 49, 51, 57, 68, 75, 93, 99, 125, 193, 249, 251, 307, 375, 432, 443, 499, 501, 557, 568, 624, 693, 749, 751, 807, 875, 943, 999, 1249, 1251, 1693, 1875, 2057, 2499, 2501, 2943, 3125, 3307, 3568, 3749, 3751, 4193, 4375, 4557, 4999
Offset: 1
Programs
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Mathematica
Do[x=Floor[N[Log[10, n],25]]+1; If[Mod[n^5, 10^x] == n,If[Mod[n^2, 10^x]!= n, Print[n]]], {n, 10^4}]