A167545 n^6 mod 16.
0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0, 1, 0, 9, 0, 9, 0, 1, 0
Offset: 0
Programs
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Mathematica
PowerMod[Range[0,110],6,16] (* or *) With[{nn=15},PadRight[{},8nn,{0,1,0,9,0,9,0,1}]] (* Harvey P. Dale, Nov 10 2011 *)
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PARI
a(n)=n^6%16 \\ Charles R Greathouse IV, Apr 06 2016
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Sage
[power_mod(n,6,16)for n in range(0, 105)] #