A204818 Final nonzero digit of n^n in base 8.
1, 1, 4, 3, 4, 5, 1, 7, 1, 1, 2, 3, 1, 5, 4, 7, 2, 1, 1, 3, 2, 5, 2, 7, 1, 1, 4, 3, 4, 5, 1, 7, 2, 1, 2, 3, 1, 5, 4, 7, 1, 1, 1, 3, 2, 5, 2, 7, 1, 1, 4, 3, 4, 5, 1, 7, 1, 1, 2, 3, 1, 5, 4, 7, 1, 1, 1, 3, 2, 5, 2, 7, 1, 1, 4, 3, 4, 5, 1, 7, 4, 1, 2, 3, 1
Offset: 0
Programs
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Mathematica
f[0]=1;f[n_]:=Module[{m=n^n},While[Mod[m,8]==0,m=m/8];Mod[m,8]];Table[f[i],{i,0,100}] lnzd[x_]:=Module[{idn=IntegerDigits[x,8]},While[Last[idn]==0,idn=Most[idn]];Last[idn]]; Join[{1},Table[lnzd[n^n],{n,90}]] (* Harvey P. Dale, Oct 03 2015 *)