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A204819
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Final nonzero digit of n^n in base 9.
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4
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1, 1, 4, 3, 4, 2, 1, 7, 1, 1, 1, 5, 1, 4, 7, 6, 7, 8, 1, 1, 4, 3, 4, 2, 1, 7, 1, 3, 1, 5, 1, 4, 7, 6, 7, 8, 1, 1, 4, 3, 4, 2, 1, 7, 1, 8, 1, 5, 1, 4, 7, 6, 7, 8, 1, 1, 4, 3, 4, 2, 1, 7, 1, 1, 1, 5, 1, 4, 7, 6, 7, 8, 1, 1, 4, 3, 4, 2, 1, 7, 1, 1, 1, 5, 1
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OFFSET
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0,3
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LINKS
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MATHEMATICA
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f[0]=1; f[n_]:=Module[{m=n^n}, While[Mod[m, 9]==0, m=m/9]; Mod[m, 9]]; y=Table[f[i], {i, 0, 100}]
Join[{1}, Mod[#/10^IntegerExponent[#], 10]&/@Table[FromDigits[ IntegerDigits[ n^n, 9]], {n, 100}]] (* Harvey P. Dale, Jan 30 2021 *)
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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